List of Publications

Transcription

1 List of Publications Albert Milani May 29, 2007 I. Books. 1. Studi di Funzione, [with A. Negro and S. Straneo], (in Italian). Levrotto & Bella, Torino Problemi di Esame di Analisi Matematica I (in Italian). Levrotto & Bella, Torino Esercizi e Complementi di Analisi Matematica I (in Italian). Levrotto & Bella, Torino An Introduction to Semiflows, [with N. Koksch]. Chapman &Hall/CRC Press, Boca Raton, II. Research Papers. 1. On a Variational Inequality with Time Dependent Convex Constraint for the Maxwell Equations, Rend. Sem. Mat. Univ. Pol. Torino, 36 (1977/78), On a Singular Perturbation Problem for the Maxwell Equations in a Multiply Connected Domain, Rend. Sem.Mat. Univ. Pol. Torino, 38/1 (1980), On a Singular Perturbation Problem for the Linear Maxwell Equations, Rend. Sem. Mat. Univ. Pol. Torino, 38/3 (1980), On the Quasistationary Maxwell Equations with Monotone Characteristics in a Multiply Connected Domain, [with A. Negro], J. Math. An. Appl., 88/1 (1982), Local in Time Existence for the Complete Maxwell Equations with Monotone Characteristic in a Bounded Domain, Ann. Mat. Pura Appl. (Ser. IV), 131 (1982),

2 6. A Regularity Result for Strongly Elliptic Systems, Boll. U.M.I., 6/2-B (1983), The Quasistationary Maxwell Equations as Singular Limits of the Complete Equations: the Quasilinear Case, J. Math. An. Appl., 102/1 (1984), On the Global Existence of Solutions to the Complete Quasilinear Maxwell Equations, Boll. U.M.I., 6/3-B (1984), Singular Limits of Quasilinear Hyperbolic Systems in a Bounded Domain of R 3, with Applications to Maxwell s Equations, Pac. J. Math., 116/1 (1985), Time Periodic Smooth Solutions of Hyperbolic Quasilinear Equations with Dissipation Term and their Approximation by Parabolic Equations, Ann. Mat. Pura Appl. (Ser. IV), 140 (1985), On a Variational Inequality with Time Dependent Convex Constraint for the Maxwell Equations, II, Rend. Sem. Mat. Univ. Pol. Torino, 43/1 (1985), Long Time Existence and Singular Perturbation Results for Quasilinear Hyperbolic Equations with Small Parameter and Dissipation Term, Non Linear An. TMA, 10/11 (1986), Long Time Existence and Singular Perturbation Results for Quasilinear Hyperbolic Equations with Small Parameter and Dissipation Term, II, Non Linear An. TMA, 11/12 (1987), Decomposition Theorems and their Applications to Nonlinear Electro and Magnetostatic Boundary Value Problems, [with R. Picard]; in: Partial Differential Equations and Calculus of Variations, Lect. Notes Math. nr. 1357, S. Hildebrandt and R. Leis eds., Springer-Verlag, Berlin 1988, Singular Convergence of Weak Solutions for a Quasilinear Nonhomogeneous Hyperbolic System, [with P. Marcati and P. Secchi], Manuscr. Math., 60 (1988), Global Existence for Quasilinear Dissipative Wave Equations with Large Data and Small Parameter, Math. Zeit., 198 (1988), Almost Global Existence of Solutions of Quasilinear Hyperbolic Equations, Math. Meth. Appl. Sciences, 11 (1989), Global Existence for Quasilinear Dissipative Hyperbolic Equations with Large Data and Small Parameter, Czech. J. Math., 40/115 (1990), The One-Dimensional Darcy s Law as the Limit of a Compressible Euler Flow, [with P. Marcati], J. Diff. Eqs., 84/1 (1990),

3 20. A Global Existence Result for Quasilinear Parabolic Equations, [with K. McLeod], Comm. PDEs, 15/4 (1990), Équations du Type de von Karman sur les Variétés Kaeleriennes, [with P. Cherrier], C.R.A.S. Paris (Ser. I), 311 (1990), Fluid Flow in Macromolecular Systems and Related Perturbation Problems, [with P. Marcati], Ann. Fac. Sci. Toulouse, 11/3 (1990), Long Time Existence and Singular Perturbation Results for Quasilinear Hyperbolic Equations with Small Parameter and Dissipation Term, III, (*) Non Linear An. TMA, 16/1 (1991), * Erratum: Non Linear An. TMA, 27/3 (1996), Equations of von Karman s Type on Compact Khaeler Manifolds, [with P. Cherrier], Bull. Sc. Math. (2 e ser.), 116 (1992), Finite Dimensional Exponential Attractors for Semilinear Wave Equations with Damping, [with A. Eden and B. Nicolaenko], J. Math. An. Appl., 169/2 (1992), Exponential Attractors for Semilinear Wave Equations with Damping, Banach Center Publ., 27 (1992), Local Exponential Attractors for Models of Phase Change for Compressible Gas Dynamics, [with A. Eden and B. Nicolaenko], Nonlinearity, 6 (1993), Exponential Attractors for Extensible Beam Equations, [with A. Eden], Nonlinearity, 6 (1993), Weak Solution Theory for Maxwell s Equations in the Semistatic Limit Case, [with R. Picard], J. Math. An. Appl., 191 (1995), On the Convergence of Attractors and Exponential Attractors for Singularly Perturbed Hyperbolic Equations, [with A. Eden], Turkish Math. J., 19 (1995), Global Existence for a Class of Quasilinear Hyperbolic-Parabolic Equations, Tsukuba Univ. Math. J., 19/2 (1995), On Compatible Regularizing Data for Second Order Hyperbolic Initial-Boundary Value Problems, [with Y. Shibata], Osaka J. Math., 32 (1995), On the Strong Well-Posedness of Quasilinear Hyperbolic Initial-Boundary Value Problems, [with Y. Shibata], Funk. Ekv., 38/3 (1995),

4 34. On Some Global Well-Posedness and Asymptotic Results for Quasilinear Parabolic Equations, [with K. McLeod], NoDEA, 3 (1996), Global Existence via Singular Perturbations for Quasilinear Evolution Equations, Adv. Math. Sci. Appl., 6/2 (1996), On an Algebraic Property of Some Lebesgue-Sobolev Spaces, Rend. Sem. Mat. Univ. Polit. Torino, 55/3 (1997), On the Construction of Compatible Data for Hyperbolic-Parabolic Initial-Boundary Value Problems, Rend. Ist. Mat. Univ. Trieste, 29 (1997), A Remark on the Sobolev Regularity of Classical Solutions to Strongly Elliptic Equations, Math. Nach., 190 (1998), On the Asymptotic Behavior of Semilinear Wave Equations with Degenerate Dissipation and Source Term, [with V. Georgiev], NoDEA, 5 (1998), Global Sobolev Solutions of Quasilinear Parabolic Equations, [with K. McLeod], Diff. Int. Eqs., 11/3 (1998), A Remark on the Sobolev Regularity of Classical Solutions to Uniformly Parabolic Equations, Math. Nachr., 199 (1999), Anisotropic Sobolev Spaces and Parabolic Equations. I. Spaces, [with A. Ka lamajska], Diff. Eqs., 34/9 (1998), (Russian version: Diff. Urav., 34/9 (1998), )). 43. Anisotropic Sobolev Spaces and Parabolic Equations. II. Equations, [with A. Ka lamajska], Diff. Eqs., 34/10 (1998), (Russian version: Diff. Urav., 34/10 (1998), )). 44. On the Diffusion Phenomenon of Quasilinear Hyperbolic Waves, [with Yang Han], Chin. Ann. Math., 21B/1 (2000), On the Diffusion Phenomenon of Quasilinear Hyperbolic Waves, [with Yang Han], Bull. Sci. Math., 124/5 (2000), Life-Span of Solutions to Nonlinear Dissipative Evolution Equations: a Singular Perturbation Approach, Rend. Ist. Mat. Univ. Trieste, 31/2 (2000), L 1 Estimates for Dissipative Wave Equations, [with Yang Han], Math. Meth. Appl. Sci., 24 (2000), Global Existence via Singular Perturbations for Quasilinear Evolution Equations: the Initial-Boundary Value Problem, Adv. Math. Sc. Appl., 10/2 (2000),

5 49. On Singular Perturbations for Quasilinear IBV Problems, Ann. Fac. Sci. Toulouse, 9/3 (2000), Sobolev Regularity for t > 0 in Quasilinear Evolution Equations, Math. Nachr., 231 (2001), Evolution Equations with Non-Linear Constitutive Laws and Memory Effects, [with R. Picard], J. Diff. Int. Eqs., 15/3 (2002), Exponential Attractors and Inertial Manifolds for Singular Perturbations of the Cahn- Hilliard Equations, [with S. Zheng], Nonlinear Analysis, 57 (2004), Global Attractors for Singular Perturbations of the Cahn-Hilliard Equations, [with S. Zheng], J. Diff. Eqs., 209 (2005), Almost Periodic Solutions to Quasilinear Evolution Equations with a Nonlocal Nonlinearity, [with G. Pinter], Math. Meth. Appl. Sc., 29/12 (2006), Équations paraboliques du type de Von Karman sur les variétés kählériennes, [with P. Cherrier], C.R.A.S. Paris (Ser. I), 343 (2006), Parabolic Equations of Von Karman Type on Kähler Manifolds, [with P. Cherrier], Bull. Soc. Math. France, 131/4 (2007), III. Research Papers, submitted/accepted. 1. Almost Global Strong Solutions to Quasi-Linear Dissipative Evolution Equations. June Subm. to: Chinese Annals of Mathematics. IV. Research Papers, non refereed. 1. Singular Convergence Problems for Quasilinear Hyperbolic Systems. In: Atti del Convegno su Problemi per Equazioni a Derivate Parziali; Dip. Mat. Univ. Bologna, Bologna 1985, Global Existence for Nonlinear Dissipative Hyperbolic Equations with Small Parameter. In: Recent Developments in Hyperbolic Equations; L. Cattabriga, F. Colombini, M.K.V. Murthy and S. Spagnolo, Eds.; Res. Notes Math., # 183; Pitman, 1988, Quasilinear Parabolic Equations in Anisotropic Sobolev Spaces, [with A. Ka lamajska]. In: Ulmer Seminare, Funktionalanalysis und Differentialgleichungen; Fach. Math. Univ. Ulm, 1997,

6 4. Dynamical Systems: Regularity and Chaos. IV Annual Lagrange Lecture, Univ. of Torino. Rend. Sem. Mat. Univ. Pol. Torino, 64/3 (2006), V. Lecture Notes and Historical Papers. 1. Cenni sull Impiego di Calcolatori Tascabili nella Didattica dell Analisi, (in Italian). Quaderno IRSSAE Piemonte, Torino Sistemi Iperbolici di Leggi di Conservazione, (in Italian); Quaderno di Mat. Univ. Torino, # 65; Torino Glimm s Random Choice Method for the Solution of Quasilinear Hyperbolic Systems of Conservation Laws. Publ. Inst. Math. Univ. Algiers, # 17.85, Algiers Dynamical Systems: Regularity and Chaos. IV Annual Lagrange Lecture, Turin, May Rend. Sem. Mat. Univ. Polit. Torino, 5. Basic Theory of Sobolev Spaces, I. UW-M Lecture Notes, Una Testimonianza sull Armonia Astronomica e Musicale nella Tradizione Pitagorica, (in Italian). In: La Matematica nelle Civilta Arcaiche, by L. Giacardi and S. C. Roero, Appendix II. Stampatori, Torino 1979, La Partizione del Numero 2 nel Papiro Matematico Rhind, (in Italian). In: Vedute sull Egitto antico, ann. III. Giappichelli, Torino 1991,