Introduction aux problèmes d'évolution semi-linéaires / Thierry Cazenave, Alain Haraux

Auteur: Cazenave, Thierry (1954-) - AuteurCo-auteur: Haraux, Alain (1949-) - AuteurType de document: MonographieCollection: Mathématiques et applications ; 1Langue: françaisPays: FranceÉditeur: Paris : Ellipses, 1990Description: 1 vol. (142 p.) ; 24 cmNote: This book is devoted to present both the abstract theory of linear contraction semigroups in Banach spaces and the applications to a few semilinear evolution equations. Although being a general introduction to the theory of evolution problems, the book contains a few recent results on semilinear problems (heat, wave and Schrödinger equations). The focus of a chapter is the study of the asymptotic behaviour of the solutions with respect to time or the possible blow-up phenomena in a finite time. (Zentralblatt)Bibliographie: Bibliogr. p. [133]-140. Index. Sujets MSC: 35G10 Partial differential equations -- General higher-order equations and systems -- Initial value problems for linear higher-order equations
35K25 Partial differential equations -- Parabolic equations and systems -- Higher-order parabolic equations
35B40 Partial differential equations -- Qualitative properties of solutions -- Asymptotic behavior of solutions
47H20 Operator theory -- Nonlinear operators and their properties -- Semigroups of nonlinear operators
Location Call Number Status Date Due
Couloir 10589-01 / Séries SMA (Browse Shelf) Available
Couloir 10589-02 / Séries SMA (Browse Shelf) Available
Couloir 10589-03 / Séries SMA (Browse Shelf) Available
Couloir 10589-04 / Séries SMA (Browse Shelf) Available

This book is devoted to present both the abstract theory of linear contraction semigroups in Banach spaces and the applications to a few semilinear evolution equations. Although being a general introduction to the theory of evolution problems, the book contains a few recent results on semilinear problems (heat, wave and Schrödinger equations). The focus of a chapter is the study of the asymptotic behaviour of the solutions with respect to time or the possible blow-up phenomena in a finite time. (Zentralblatt)

Bibliogr. p. [133]-140. Index

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