Functional analysis, Sobolev spaces and partial differential equations /

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Bibliographic Details
Author / Creator:Brézis, H. (Haim)
Imprint:New York ; London : Springer, c2011.
Description:1 online resource (xiii, 599 p.)
Language:English
Series:Universitext
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8895690
Hidden Bibliographic Details
Other uniform titles:Brézis, H. (Haim). Analyse fonctionnelle, théorie et applications.
ISBN:9780387709147 (electronic bk.)
0387709142 (electronic bk.)
Notes:Originally published in French as Analyse fonctionelle, théorie et applications (Paris: Masson, c1983); this English edition contains revisions and added exercises.
Includes bibliographical references (p. 585-594) and index.
Description based on print version record.
Other form:Print version: Brézis, H. (Haim). Functional analysis, Sobolev spaces and partial differential equations. New York ; London : Springer, c2011 9780387709130
Table of Contents:
  • 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.