Curriculum vit et studiorum of Alessandra Lunardi 1. General data Born in Lucca (Italy), 01.30.1958. Not married. Home address: Via Arcivescovato 25, 55100 Lucca, Italy. Present position: Full Professor (Dipartimento di Matematica, Universita di Parma, Via D'Azeglio 85/A, 43100 Parma, Italy). E-mail [email protected] URL: http://www.math.unipr.it/ lunardi 2. Studies and career Corso di Laurea in Matematica, University of Pisa (Italy), 1976{1980. Perfezionamento in Matematica, Scuola Normale Superiore, Pisa (Italy), 1980{1983. 3. Professional experience 1984-1987 Researcher - Dipartimento di Matematica, Universita di Pisa. 1987-1994 Full professor - Dipartimento di Matematica, Universita di Cagliari. 1994-present Full professor - Dipartimento di Matematica, Universita di Parma. 4. Current research interests Abstract methods in parabolic problems, existence in the large and asymptotic behavior in parabolic PDE's and systems, mathematical models from the theory of combustion, interpolation, optimal regularity in elliptic, hypoelliptic and parabolic linear problems. 5. Other information I was awarded \Premio Bartolozzi" of the Unione Matematica Italiana in 1987. I was Visiting Professor in the Universities of Delft (1986), Michigan State University at East Lansing (1986), E cole Normale Superieure de Lyon (1990), Bordeaux 1 (1991, 1994, 1996, 1998, 2000), Bratislava (1991), Paris Dauphine (1992, 1994), Bloomington (1992), Louisiana State University at Baton Rouge (1996). I enjoyed a sabbatical year (November 1, 1991 - October 31, 1992) at Scuola Normale Superiore, Pisa. I am a member of the Editorial Board of the following journals: Rivista di Matematica dell'Universita di Parma, Journal of Evolution Equations, Nonlinear Dierential Equations and Applications (NoDea). 1 6. Teaching experience Exercises As a PHD student of the Scuola Normale di Pisa and as a researcher in the University of Pisa, I held exercises courses of Calculus for Inegneering students and Computer Sciences students, from 1981/82 to 1986/87. Undergraduate courses One-year courses of Mathematics for Life Sciences students, University of Cagliari (from 1986/87 to 1993/94, except 1991/92) One-year courses of Calculus I and Calculus II for Mathematics students, University of Parma (each year from 1994/95) One-year courses of Advanced Calculus for Mathematics students, University of Cagliari (1990/91), University of Parma (a.a. 1994/95) One-year courses of Theory of Functions for Mathematics students, University of Parma (1995/96, 1996/97, 1997/98) half-year course of Theory of Functions for Mathematics students, University of Parma (1999/2000) Half-year course of Dierential Equations for Mathematics students, University of Parma (2000/01) One-year courses of Calculus II for Engeneering students, University of Parma (1998/99, 2000/01). Post-graduate courses PHD course of Evolution Equations, University of Roma I (1990). \An introduction to geometric theory of fully nonlinear parabolic equations", course in the \School on Qualitative Aspects and Applications of Nonlinear Evolution Equations", ICTP, Trieste (Sept. 10th { Oct. 5th, 1990). PHD course of Parabolic Evolution Equations, University of Firenze (1994). \Introduction to the qualitative theory of parabolic equations", course in the \Workshop on Parabolic Equations", Cortona (Sept.18th{24th, 1994). PHD course of Semilinear Parabolic Equations, University of Pisa (1995). Courses of Interpolation Theory, Scuola Normale Superiore, Pisa (1998, 1999). \Introduction aux problemes totalement nonlineaires", mini-course post-DEA, Universite Bordeaux 1 (1998/99). Teaching organization From Nov 1st, 1999, I am the Chairman of the Course of graduate studies of Mathematics of the University of Parma. 2 7. Invited talks 1983: Dipartimento di Matematica, II Universita di Roma, Italy. 1984: Dipartimento di Matematica, Universita di Roma 1, Italy. 1985: Dipartimento di Matematica, Universita di Bologna, Italy. 1986: Technische Universiteit, Delft, The Netherlands Michigan State University at East Lansing, USA Institut fur Mathematik der Universitat Zurich, Switzerland Institut fur Mathematik der Universitat Augsburg, West Germany. 1987: Dipartimento di Matematica, Universita di Bologna, Italy Dipartimento di Matematica, Universita di Torino, Italy. 1988: Dipartimento di Matematica, II Universita di Roma, Italy Dipartimento di Matematica, Universita di Bologna, Italy Dipartimento di Matematica, Universita dell'Aquila, Italy. 1989: Dipartimento di Matematica, Universita di Milano, Italy Dipartimento di Matematica, Universita di Roma 1, Italy Dipartimento di Matematica, Universita di Pisa, Italy Dipartimento di Matematica, Universita di Bari, Italy Department of Electrical Engeneering, University of California at Los Angeles, USA. 1990: CEREMADE, Universite Paris IX-Dauphine Dipartimento di Matematica, Universita di Bologna, Italy E cole Normale Superieure, Lyon, France Dipartimento di Matematica, Universita di Firenze, Italy. 1991: Istituto di Matematiche Applicate, Universita di Pisa, Italy Departement de Mathematiques Appliquees, Universite Bordeaux I, France CEREMADE, Universite Paris IX-Dauphine, France Dipartimento di Matematica, Universita di Roma II \Tor Vergata", Italy Dipartimento di Matematica, Universita di Trento, Italy Dipartimento di Matematica, Universita di Parma, Italy Department of Applied Mathematics, Comenius University, Bratislava, Czechoslovakia Department of Mathematics, University of Praha, Czechoslovakia. 1992: Dipartimento di Matematica, Politecnico di Milano, Italy E cole Normale Superieure, Paris, France Dipartimento di Matematica, Universita di Bologna, Italy Dipartimento di Matematica, Universita di Pavia, Italy Department of Mathematics, Indiana University at Bloomington, USA. 1994: Institute Henri Poincare, Paris, France Dipartimento di Matematica, Universita di Bologna, Italy. 1995: Dipartimento di Matematica, Politecnico di Milano, Italy. 1996: Dipartimento di Metodi e Modelli Matematici, Universita di Roma 1, Italy Department of Mathematics, Louisiana State University at Baton Rouge, USA Dipartimento di Matematica, Universita di Roma II \Tor Vergata", Italy. 1997: Scuola Normale Superiore, Pisa, Italy Dipartimento di Matematica e Applicazioni, Universita di Napoli Dipartimento di Matematica, Universita di Trento, Italy Dipartimento di Matematica, Universita di Bologna, Italy Dipartimento di Matematica, Politecnico di Torino, Italy Dipartimento di Matematica, Universita di Bari, Italy. 1998: Dipartimento di Matematiche Applicate, Universita di Pisa, Italy Scuola Normale Superiore, Pisa, Italy. 1999: Dipartimento di Matematica, Universita di Trento, Italy Dipartimento di Matematica, Universita di Lecce, Italy. 2000: Dipartimento di Matematica, Universita di Roma I, Italy. 2001: Abteilung Angewandte Analysis, Universitat Ulm, Germany Mathematische Fakultat, Universitat Tubingen, Germany. 3 8. Participation to Conferences (i) As a contributor 1) Convegno G.N.A.F.A., Rimini, Italy (Sept. 1981). 2) Convegno U.M.I., Perugia, Italy (Sept. 2th-7th, 1983). 3) \VIth International Conference on Trends in the Theory and Practice of Nonlinear Analysis", Arlington, Texas (July 18th-22th, 1984). 4) \Nonlinear Parabolic Equations: Qualitative Properties of the Solutions", Roma, Italy (April 1st-5th, 1985). 5) \Giornate di Lavoro su Equazioni e Sistemi Parabolici", Pisa, Italy (1986). 6) \International Conference on Dierential Equations Theory and Applications to Stability and Control", Colorado Springs, USA (June 7th-10th, 1989). 7) \International Conference on Theory and Applications of Dierential Equations", Edinburgh, Texas (May 15th-18th, 1991). 8) Minisymposium \Dinamica di ussi reagenti", 1st Congresso Nazionale SIMAI, Firenze, Italy (June 1st-5th, 1992) 9) \Free Boundary Problems in Combustion", Arcachon, France (March 22th-24th, 1995). 10) \Dynamical systems and applications of stochastic dierential equations", Scuola Normale Superiore, Pisa, Italy (July 16th-17th, 1996). 11) \Reaction Diusion Systems", Trieste, Italy (October 2nd-7th, 1995). 12)\Deterministic and Stochastic Evolutionary Systems", Scuola Normale Superiore, Pisa, Italy (July 16th-17th, 1996). 13) \Deterministic and Stochastic Evolutionary Systems", Scuola Normale Superiore, Pisa, Italy (July 16th-18th, 1997). 14) Workshop of the Italian Research Project \Equazioni di evoluzione e applicazioni. . . ", Montecatini Terme, Italy (Feb. 19th-21st, 1998). 15) \Analysis and control of deterministic and stochastic evoution equations", Workshop of the Italian Research Project \Analisi e controllo di equazioni di evoluzione deterministiche e stocastiche", Bressanone, Italy (July 6th-7th, 2000). (ii) As invited speaker 1) \Integrodierential Evolution Equations and Applications", Trento, Italy (Sept. 2-8th, 1984). 2) \Evolution Equations in Banach Spaces", Bologna, Italy (July 2nd-5th, 1985). 3) \VIIth International Conference on Nonlinear Analysis and Applications", Arlington, Texas (July 28th - Aug. 1st, 1986). 4) \Parabolic Equations and Semigroups", Pisa (1987). 5) \International Symposium on Nonlinear Analysis and Applications to Biomathematics", Visakhapatnam, India (Aug. 24th-28th, 1987). 6) \International Conference on Theory and Applications of Dierential Equations", Columbus, Ohio (March 29th - April 1st, 1988). 7) \Partielle Dierentialgleichungen", Oberwolfach, West Germany (March 5-10th, 1989). 8) \Funktionalanalytische Methoden bei Evolutionsgleichungen", Oberwolfach, West Germany (May 28th - June 3rd, 1989). 4 9) \International Conference on Dierential Equations and Applications", Retzhof, Austria (June 18th-24th, 1989). 10) \Workshop on Control Theory", Scuola Normale Superiore, Pisa, Italy (July 17th18th, 1989). 11) \2nd International Conference on Trends in Semigroup Theory and Evolution Equations", Delft, The Netherlands (September 25th-29th, 1989). 12) I.F.I.P. Conference \Boundary Control and Boundary Variations", Sophia Antipolis, France (October 15th-17th, 1990). 13) \Dierential Equations in Banach Spaces", Bologna, Italy (July 1st-5th, 1991). 14) \Regulation of Nonlinear Systems with State Constraints", Les Houches, France (March 9th-12th, 1992). 15) \Mathematical Methods in Combustion", Como, Italy (May 18th-20th, 1992). 16) \Nonlinear Evolution Problems", Roma, Italy (June 22nd-26th, 1992). 17) \Semigroups of Operators and Applications", Curacao, (August 10th-14th, 1992). 18) \Workshop on Evolution Equations, Control Theory, and Biomathematics", Luminy, France (March 8th-12th, 1993). 19) \Funktionalanalysis und nichtlineare partielle Dierentialgleichungen", Oberwolfach, Germany (May 30th - June 5th, 1993). 20) \Evolution Equations and Semigroups", Scuola Normale Superiore, Pisa, Italy (Sept. 26th - Oct. 1st, 1994). 21) \Funktionalanalysis und partielle Dierentialgleichungen", Oberwolfach , Germany (Jan. 1st-7th, 1995). 22) \Partial Dierential Equations", Potsdam, Germany (July 29th - Aug. 3rd, 1996). 23) \Interfaces and parabolic regularization", Leiden, The Netherlands (Nov. 5th-7th, 1997). 24) \Maximal regularity in parabolic problems", Alexisbad, Germany (March 17th-20th, 1998). 25) \Recent Advances in Partial Dierential Equations", Roma, Italy (May 4th-8th, 1998). 26) \II Workshop in Nonlinear Dierential Equations", Campinas, Brazil (Aug. 17th-21st, 1998). 27) \6th International Conference on Evolution Equations and their applications in Physical and Life Sciences", Bad Herrenalb, Germany (Sept. 14th-19th, 1998). 28) \Nonlinear Partial Dierential Equations and Applications", Lisbon, Portugual (May 14th-17th, 1999). 29) \Symposium on Evolution Equations", Helsinki, Finland (June 7-8th, 1999). 30) \XVI Congresso dell'Unione Matematica Italiana", Napoli,Italy (Sept. 13th-18th, 1999). 31) \Phase Transitions and Interfaces in Evolution Equations: analysis, control, and approximation", Santa Margherita Ligure, Italy (Feb. 8th-12th, 2000). 32) \Funktionalanalysis und partielle Dierentialgleichungen", Oberwolfach, Germany (March 20th-25th, 2000). 33) \Workshop on nonlinear parabolic partial dierential equations: methods and applications", Tel Aviv (June 12th-15th, 2000). 34) \The third International Conference on Dierential Equations in Banach Spaces", Bologna (July 3rd-5th, 2000). 35) \Convegno in onore di Brunello Terreni", Milano (Sept. 27h-28th, 2000). 5 36) \Evolution Equations 2000: Applications to Physics, Industry, Life Sciences and Economics", Levico (Oct. 30th - Nov. 4th, 2000). (iii) As organizer 1) \Mathematical Methods in Combustion Theory", session of the \First World Congress of Nonlinear Analysts", Tampa, Florida (August 19th-26th, 1992). 2) \Nonlinear Parabolic Problems", Levico, Italy, (June 12th-16th, 1995). 3) \Optimal regularity in elliptic, hypoelliptic, and parabolic problems", Levico, Italy (Oct. 6th-10th, 1998). 6 9. List of publications Monographs Analytic semigroups and optimal regularity in parabolic problems, Birkhauser Verlag, Basel (1995). Papers on journals 1) Analyticity of the maximal solution of an abstract nonlinear parabolic equation, Nonlinear Analysis T.M.A. 6 (1982), 503-521. 2) An extension of Schauder's Theorem to little-Holder continuous functions, Bollettino U.M.I., Sez. Analisi Funzionale e Applicazioni, Serie VI, 3-C (1984), 25-35. 3) Abstract quasilinear parabolic equations, Mathematische Annalen 267 (1984), 405425. 4) Asymptotic exponential stability in quasilinear parabolic equations, Nonlinear Analysis T.M.A. 9 (1985), 563-586. 5) (with E. Sinestrari) Fully nonlinear integrodierential equations in general Banach space, Mathematische Zeitschrift 190 (1985), 225-249. 6) Global solutions of abstract quasilinear parabolic equations, Journal of Dierential Equations 58 (1985), 228-243. 7) Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations, Mathematische Nachrichten 121 (1985), 296-318. 8) (with G. Da Prato) Hopf bifurcation for fully nonlinear equations in Banach space, Annales Institute H. Poincare, Analyse non Lineaire 3 (1986), 315-329. 9) (with E. Sinestrari) C -regularity for non autonomous linear integrodierential equations of parabolic type, Journal of Dierential Equations 63 (1986), 88-116. 10) Time analyticity for solutions of nonlinear abstract parabolic evolution equations, Journal of Functional Analysis 71 (1987), 294-308. 11) (with G. Da Prato) Hopf bifurcation for nonlinear integrodierential equations in Banach space with innite delay, Indiana University Mathematics Journal 37 (1987), 242-255. 12) Local stability results for the elastic beam equation, SIAM Journal on Mathematical Analysis 18 (1987), 1352-1376. 13) On the evolution operator for abstract parabolic equations, Israel Journal of Mathematics 60 (1987), 281-314. 14) Regular solutions for time dependent abstract integrodierential equations with singular kernel, Journal of Mathematical Analysis and Applications 130 (1988), 1-21. 15) (with G. Da Prato) Stability, Instability and Center Manifold Theorem for Fully Nonlinear Abstract Parabolic Equations in Banach Space, Archive for Rational Mechanics and Analysis 101 (1988), 115-142. 7 16) Bounded solutions of linear periodic abstract parabolic equations, Proceedings of the Royal Society of Edinburgh, 110A (1988), 136-159. 17) Stability of the periodic solutions to fully nonlinear equations in Banach space, Differential and Integral Equations 1 (1988), 253-279. 18) (with G. Da Prato) Solvability on the real line of a class of linear Volterra integrodierential equations of parabolic type, Annali di Matematica Pura ed Applicata (IV) 150 (1988), 67-118. 19) Maximal space regularity in nonhomogeneous initial boundary value parabolic problems, Numerical Functional Analysis and Optimization 10 (1989), 323-360. 20) Dierentiability with respect to (t,s) of the parabolic evolution operator, Israel Journal of Mathematics 68 (1989), 161-184. 21) On the linear heat equation with memory, SIAM Journal on Mathematical Analysis 21 (1990), 1213-1224. 22) (with A. Lorenzi) An identication problem in the theory of heat conduction, Dierential and Integral Equations 3 (1990), 238-252. 23) (with G. Da Prato) Stabilizability of integrodierential parabolic equations, Journal of Integral Equations and Applications 2 (1990), 281-304. 24) (with G. Da Prato) Floquet exponents and stabilizability of time periodic parabolic systems, Applied Mathematics & Optimization 22 (1990), 91-113. 25) Stabilizability of time periodic parabolic equations, SIAM Journal on Control & Optimization 29 (1991), 810-828. 26) (with V. Vespri) Holder regularity in variational parabolic nonhomogeneous equations, Journal of Dierential Equations 94 (1991), 1-41. 27) On a class of fully nonlinear parabolic equations, Communications in Partial Dierential Equations 16 (1991), 146-172. 28) (with E. Sinestrari and W. Von Wahl) A semigroup approach to the time dependent parabolic initial boundary value problem, Dierential and Integral Equations 5 (1992), 1275-1306. 29) (with C.-M. Brauner and C. Schmidt-Laine) Stability of travelling waves with interface conditions, Nonlinear Analysis T.M.A. 19 (1992), 465-484. 30) (with F. Alabau) Behavior near the travelling wave solution of a free boundary system in Combustion Theory, Dynamic Systems and Applications 1 (1992), 391-418. 31) (with C.-M. Brauner and C. Schmidt-Laine) Multidimensional stability analysis of planar travelling waves, Applied Mathematics Letters 7 (1994), 1-4. 32) (with G. Da Prato) On the Ornstein-Uhlenbeck operator in spaces of continuous functions, Journal of Functional Analysis 131 (1995), 94-114. 33) A unied approach to semilinear parabolic problems, Dynamic Systems and Applications 4 (1995), 103-123. 34) Stability in fully nonlinear parabolic equations, Archive for Rational Mechanics and Analysis 130 (1995), 1-24. 8 35) An interpolation method to characterize domains of generators of semigroups, Semigroup Forum 53 (1996), 321-329. 36) On the Ornstein-Uhlenbeck operator in L2 spaces with respect to invariant measures, Transactions of the American Mathematical Society 349 (1997), 155-169. 37) Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coecients in Rn, Annali della Scuola Normale Superiore, Pisa, Ser. IV 24 (1997), 133-164. 38) (con G. Da Prato) Maximal regularity for stochastic convolutions in Lp spaces, Atti Acc. Naz. Lincei, Rendiconti, Serie IX, 9 (1998), 25-29. 39) Schauder theorems for linear elliptic and parabolic problems with unbounded coecients in Rn, Studia Mathematica 128 (1998), 171-198. 40) Optimal W sp regularity in parabolic problems, Atti Acc. Naz. Lincei, Rendiconti, Serie IX, 10 (1999), 25-34. 41) (with C.-M. Brauner and J. Hulshof) A general approach to stability in free boundary problems, Journal of Dierential Equations 164 (2000), 16-48. 42) (with C.-M. Brauner and O. Baconneau) Computation of bifurcated branches in a free boundary problem arising in combustion theory, Mathematical Modelling and Numerical Analysis 34 (2000), 223-239. 43) (with C.-M. Brauner) Instabilities in a combustion model with free boundary in R2, Archive for Rational Mechanics and Anaysis 154 (2000), 157-182. 44) (with C.-M. Brauner and J. Hulshof) A critical case of stability in a free boundary problem, Journal of Evolution Equations 1 (2001), 85-113. Invited papers 1) (with V. Vespri) Generation of strongly continuous semigroups by elliptic operators with unbounded coecents in Lp (Rn), Rend. Istit. Mat. Univ. Trieste 28 (1997), Special issue dedicated to the memory of Pierre Grisvard, 251-279. 2) Regularity for a class of sums of noncommuting operators, in: Topics in Nonlinear Analysis, The Herbert Amann Anniversary volume, J. Escher, G. Simonett Eds., Birkhauser Verlag, Basel (1999), 517-533. Announcements, reports, and proceedings of meetings 1) Analyticity of the maximal solution of an abstract parabolic equation, Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali dell'Accademia Nazionale dei Lincei, Serie VIII, 70 (1981), 1-6. 2) Characterization of some interpolation spaces (I), Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali dell'Accademia Nazionale dei Lincei, Serie VIII, 72 (1982), 19-24. 3) Characterization of some interpolation spaces (II), Rendiconti della Classe di Scienze Fisiche, Matematiche e Naturali dell'Accademia Nazionale dei Lincei, Serie VIII, 72 (1982), 333-339. 9 4) Interpolation between spaces of continuous functions, in: \Trends in the Theory and Practice of Nonlinear Analysis", V. Lakshmikantham Editor, Elsevier Science Publishers (1985), 287-294. 5) Laplace transform methods in integrodierential equations, Journal of Integral Equations, Special Conference Issue: Trento, 1984, \Integrodierential Evolution Equations and Applications". Guest Editors G. Da Prato, M. Iannelli, 10 (1985), 185-211. 6) (with E. Sinestrari) Existence in the large and stability for nonlinear Volterra equations, Journal of Integral Equations, Special Conference Issue: Trento, 1984, \Integrodierential Evolution Equations and Applications". Guest Editors G. Da Prato, M. Iannelli, 10 (1985), 213-240. 7) (with G. Da Prato) Periodic solutions for linear integrodierential equations with innite delay in Banach spaces, in: \Dierential Equations in Banach Spaces - Proceedings of the Bologna Conference", July 2-5, 1985, Lecture Notes in Mathematics 1123, Springer Verlag, Berlin (1986), 50-60. 8) C 1 regularity for fully nonlinear abstract evolution equations, in: \Dierential Equations in Banach Spaces - Proceedings of the Bologna Conference", July 2-5, 1985, Lecture Notes in Mathematics 1123, Springer Verlag, Berlin (1986), 176-185. 9) (with G. Da Prato) Periodic solutions for autonomous fully nonlinear equations in Banach spaces, in: \Nonlinear parabolic equations: qualitative properties of solutions", L. Boccardo & A. Tesei (Editors), Pitman Research Notes in Mathematics Series 150 (1987), 68-71. 10) On the local dynamical system associated to a fully nonlinear abstract parabolic equation, in : \Nonlinear Analysis and Applications", V. Lakshmikantham Editor, Dekker, New York (1987), 319-326. 11) Existence in the small and in the large in fully nonlinear parabolic equations, in: \Proceedings of the International Conference on Theory and Applications of Dierential Equations, Ohio University, 1988", R. Aftabizadeh Editor. Ohio University Press, Athens (1989), 170-178. 12) Stabilizzabilita di equazioni paraboliche, Rendiconti del Seminario Matematico e Fisico di Milano 59 (1989), 25-36. 13) (with C.-M. Brauner and C. Schmidt-Laine) Une nouvelle formulation de modeles de fronts en problemes completement non lin eaires, C.R.A.S. Paris 311 (1990), Serie I, 597-602. 14) (with C.-M. Brauner and C. Schmidt-Laine) Stabilit e et instabilit e des ondes stationnaires d'un probleme de d etonation a deux phases, C.R.A.S. Paris 311 (1990), Serie I, 697-700. 15) Neumann boundary stabilization of structurally damped wave and plate equations, in: \Dierential Equations with Applications in Biology, Physics, and Engeneering", J. Goldstein, F. Kappel, W. Schappacher Editors. Lecture Notes in Pure and Applied Mathematics 133, M. Dekker, New York (1991), 242-257. 16) Some regularity results for linear variational second order parabolic equations, in \Semigroup Theory and Evolution Equations", P. Clement, B. De Pagter, E. Mitidieri Editors. Lecture Notes in Pure and Applied Mathematics 136, M. Dekker, New York (1991), 357-369. 10 17) Stability of the travelling waves in a class of free boundary problems arising in combustion theory, Proceedings of the I.F.I.P. Conference \Boundary Control and Boundary Variations", October 15-17, 1990, J.-P. Zolesio Editor. Lecture Notes in Control and Information Sciences 178, Springer Verlag, Berlin (1992), 285-296. 18) Stability of travelling waves in free boundary parabolic problems arising as combustion models, in \Partial Dierential Equations", Proceedings, J. Wiener and J.K. Hale Editors, Pitman Research Notes in Mathematics Series 273, Longman (1992), 106110. 19) Stability and local invariant manifolds in fully nonlinear parabolic equations, in \Semigroups of Linear and Nonlinear Operations and Applications", Curacao (August 10-14, 1992), Proceedings, G.& J. Goldstein Editors, Kluwer Academic Publishers, Dordrecht (1993), 185-203. 20) (with C.-M. Brauner and C. Schmidt-Laine) Stability of travelling waves in combustion problems: a fully nonlinear approach, in \First World Congress of Nonlinear Analysts", Tampa, August 19-26, 1992, Proceedings, V. Lakshmikantham Editor, De Gruyter, Berlin (1996), 667-679. 21) (with V. Vespri) Optimal L1 and Schauder estimates for elliptic and parabolic operators with unbounded coecients, Proceedings of the Conference \Reaction-Diusion Systems", Trieste 1995, G. Caristi, E. Mitidieri Eds., Lect. Notes in Pure and Applied Math. 194, M. Dekker, New York (1998), 217-239. 22) (with C.-M. Brauner, J. Hulshof, Claudine Schmidt-Laine) Instabilities, bifurcation and saddle-points in some FBP's in combustion, in: Proceedings of the Conference \Free Boundary Problems: Theory and Applications", Herakleion (Crete), June 814, 1997 I. Athanasopoulos, G.Makrakis and J.F. Rodrigues, Eds., Chapman & Hall/CRC Research Notes in Math. 409, M. Dekker, New York (1999), 105-114. 23) (with C.-M. Brauner) Instability of the free boundary in a two-dimensional combustion model, C.R.A.S. Paris 330 (2000), 77-81. 24) Problemi parabolici a frontiera libera, Bollettino U.M.I. (8) 1-B (2000), 11-29. Lecture notes 1) An introduction to geometric theory of fully nonlinear parabolic equations, in: \School on Qualitative Aspects and Applications of Nonlinear Evolution Equations", ICTP, Trieste. World Scientic, Singapore (1991). 2) Problemi parabolici semilineari, Note dei corsi di Dottorato, Dipartimento di Matematica, Univ. Pisa (1995). 3) Teoria dell'interpolazione, Appunti, Scuola Normale Superiore Pisa (1999). Preprints 1) (with C.-M. Brauner and Cl. Schmidt-Laine) Stability analysis in a multidimensional interface problem, preprint Sc. Norm. Sup. Pisa (1996). To appear in Nonlinear Analysis T.M.A. 2) Global Schauder estimates for the Heisenberg Laplacian, preprint Dipart. Mat. Univ. Parma (1997). 11 3) (with C.-M. Brauner) Bifurcation of nonplanar travelling waves in a free boundary problem, preprint Dept. Mathematiques Appliquees, Univ. Bordeaux 1 (1997). To appear in Nonlinear Analysis T.M.A. 12

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# Curriculum vit et studiorum of Alessandra Lunardi E