Titre :	Nonlinear functional analyseis and its applications V.2/b : Nonlinear monotone operators
Type de document :	texte imprimé
Auteurs :	Eberhard Zeidler
Editeur :	New York : Springer
Année de publication :	1990
Importance :	1 vol. (1202 p.)
Format :	25 cm
ISBN/ISSN/EAN :	3-540-97167-x
Note générale :	Index p.889-909
Catégories :	Mathématique
Mots-clés :	Analyse fonctionnelle non linéaire Opérateurs monotones Opérateurs non linéaires
Index. décimale :	515.7 Analyse fonctionnelle
Résumé :	Table of contents (12 chapters) Lipschitz Continuous, Strongly Monotone Operators, the Projection-Iteration Method, and Monotone Potential Operators..Pages 495-552 Monotone Operators and Quasi-Linear Elliptic Differential Equatios..Pages 553-579 Pseudomonotone Operators and Quasi-Linear Elliptic Differential Equations..Pages 580-614 Monotone Operators and Hammerstein Integral Equations..Pages 615-638 Noncoercive Equations, Nonlinear Fredholm Alternatives, Locally Monotone Operators, Stability, and Bifurcation.. Pages 639-763 First-Order Evolution Equations and the Galerkin Method.. Pages 767-816 Maximal Accretive Operators, Nonlinear Nonexpansive Semigroups, and First-Order Evolution Equations.. Pages 817-839 Maximal Monotone Mappings.. Pages 840-918 Second-Order Evolution Equations and the Galerkin Method.. Pages 919-957 Inner Approximation Schemes, A-Proper Operators, and the Galerkin Method..Pages 963-977 External Approximation Schemes, A-Proper Operators, and the Difference Method.. Pages 978-996 Mapping Degree for A-Proper Operators.. Pages 997-1007
Note de contenu :	This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.
Côte titre :	Fs/6490-6491

Nonlinear functional analyseis and its applications V.2/b : Nonlinear monotone operators [texte imprimé] / Eberhard Zeidler . - New York : Springer, 1990 . - 1 vol. (1202 p.) ; 25 cm.
ISSN : 3-540-97167-x
Index p.889-909

Catégories :	Mathématique
Mots-clés :	Analyse fonctionnelle non linéaire Opérateurs monotones Opérateurs non linéaires
Index. décimale :	515.7 Analyse fonctionnelle
Résumé :	Table of contents (12 chapters) Lipschitz Continuous, Strongly Monotone Operators, the Projection-Iteration Method, and Monotone Potential Operators..Pages 495-552 Monotone Operators and Quasi-Linear Elliptic Differential Equatios..Pages 553-579 Pseudomonotone Operators and Quasi-Linear Elliptic Differential Equations..Pages 580-614 Monotone Operators and Hammerstein Integral Equations..Pages 615-638 Noncoercive Equations, Nonlinear Fredholm Alternatives, Locally Monotone Operators, Stability, and Bifurcation.. Pages 639-763 First-Order Evolution Equations and the Galerkin Method.. Pages 767-816 Maximal Accretive Operators, Nonlinear Nonexpansive Semigroups, and First-Order Evolution Equations.. Pages 817-839 Maximal Monotone Mappings.. Pages 840-918 Second-Order Evolution Equations and the Galerkin Method.. Pages 919-957 Inner Approximation Schemes, A-Proper Operators, and the Galerkin Method..Pages 963-977 External Approximation Schemes, A-Proper Operators, and the Difference Method.. Pages 978-996 Mapping Degree for A-Proper Operators.. Pages 997-1007
Note de contenu :	This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.
Côte titre :	Fs/6490-6491