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- 2010938382 contributor B12096457.
- 2010938382 contributor B12096458.
- 2010938382 created "2011.".
- 2010938382 date "2011".
- 2010938382 date "2011.".
- 2010938382 dateCopyrighted "2011.".
- 2010938382 description "Includes bibliographical references (p. 585-594) and index.".
- 2010938382 description "The Hahn-Banach theorems : introduction to the theory of conjugate convex functions -- The uniform boundedness principle and the closed graph theorem -- Weak topologies, reflexive spaces, separable spaces, uniform convexity -- Lp spaces -- Hilbert spaces -- Compact operators, spectral decomposition of self-adjoint compact operators -- The Hille-Yosida theorem -- Sobolev spaces and the variational formulation of boundary value problems in one dimension -- Sobolev spaces and the variational formulation of elliptic boundary value problems in N dimensions -- Evolution problems : the heat equation and the wave equation -- Miscellaneous complements".
- 2010938382 description "The first part of the text deals with abstract results in FA and operator theory. The second part is concerned with the study of spaces of functions (of one or more real variables) having specific differentiability properties, e.g., the celebrated Sobolev spaces, which lie at the heart of the modern theory of PDEs. The Sobolev spaces occur in a wide range of questions, both in pure and applied mathematics, appearing in linear and nonlinear PDEs which arise, for example, in differential geometry, harmonic analysis, engineering, mechanics, physics etc. and belong in the toolbox of any graduate student studying analysis.".
- 2010938382 description "This book has its roots in a celebrated course taught by the author for many years and is a completely revised, updated, and expanded English edition of die important Analyse Fonctionnelle (1983). Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English version is a welcome addition to this list.".
- 2010938382 extent "xiii, 599 p. :".
- 2010938382 identifier "0387709134 (pbk.)".
- 2010938382 identifier "9780387709130 (pbk.)".
- 2010938382 isPartOf "Universitext".
- 2010938382 isPartOf "Universitext.".
- 2010938382 issued "2011".
- 2010938382 issued "2011.".
- 2010938382 language "eng".
- 2010938382 publisher "New York ; London : Springer,".
- 2010938382 subject "515.7 22".
- 2010938382 subject "Differential equations, Partial.".
- 2010938382 subject "Functional analysis.".
- 2010938382 subject "QA320 .B73 2011".
- 2010938382 subject "Sobolev spaces.".
- 2010938382 tableOfContents "The Hahn-Banach theorems : introduction to the theory of conjugate convex functions -- The uniform boundedness principle and the closed graph theorem -- Weak topologies, reflexive spaces, separable spaces, uniform convexity -- Lp spaces -- Hilbert spaces -- Compact operators, spectral decomposition of self-adjoint compact operators -- The Hille-Yosida theorem -- Sobolev spaces and the variational formulation of boundary value problems in one dimension -- Sobolev spaces and the variational formulation of elliptic boundary value problems in N dimensions -- Evolution problems : the heat equation and the wave equation -- Miscellaneous complements".
- 2010938382 title "Functional analysis, Sobolev spaces and partial differential equations / Haim Brezis.".
- 2010938382 type "text".