TY  - BOOK
AU  - Brezis,Haim
TI  - Functional analysis, Sobolev spaces and partial differential equations
T2  - Universitext
SN  - 978-0-387-70913-0
PY  - 2010///
CY  - New York
PB  - Springer
KW  - Ecuaciones diferenciales
KW  - Análisis funcional
KW  - Sobolev, Espacios de
N1  - Índice; Bibliografía: p. 585-594
N2  - 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
ER  -