Functional analysis, Sobolev spaces and partial differential equations / Haim Brezis

By: Brezis, Haim
Material type: TextText; Format: print Series: UniversitextPublisher: New York : Springer, 2010Description: XIII, 599 p. ; 24 cmISBN: 978-0-387-70913-0Subject(s): Ecuaciones diferenciales | Análisis funcional | Sobolev, Espacios de
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Item type Home library Call number Status Loan Date due Barcode Item holds
Monografías 02. BIBLIOTECA CAMPUS PUERTO REAL
517.9/BRE/fun (Browse shelf) Available   Shelving location | Bibliomaps® PREST. LIBROS 3743082551
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Índice

Bibliografía: p. 585-594

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list. Major textbook by a well-known and highly regarded author Only single-volume textbook to cover related fields of functional analysis and PDEs

Índice: Preface.- 1. The Hahn{u286E}ach Theorems. Introduction to the Theory of Conjugate Convex Functions.- 2. The Uniform Boundedness Principle and the Closed Graph Theorem. Unbounded Operators. Adjoint. Characterization of Surjective Operators.- 3. Weak Topologies. Reflexive Spaces. Separable Spaces. Uniform Convexity.- 4. Lp̂ Spaces.- 5. Hilbert Spaces.- 6. Compact Operators. Spectral Decomposition of Self-Adjoint Compact Operators.- 7. The Hille✹ida Theorem.- 8. Sobolev Spaces and the Variational Formulation of Boundary Value Problems in One Dimension.- 9. Sobolev Spaces and the Variational Formulation of Ell... Etc.

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