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

Auteur principal : Cazenave, Thierry, 1954-, AuteurCo-auteur : Haraux, Alain, 1949-, AuteurType de document : MonographieCollection : Mathématiques et applications, 1Langue : français.Pays : France.Éditeur : Paris : Ellipses, 1990Description : 1 vol. (142 p.) ; 24 cmISSN : 1154-483X.Bibliographie : Bibliogr. p. [133]-140. Index.Sujet 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
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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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