TY  - BOOK
AU  - Brézis,H.
AU  - Brézis,H.
TI  - Functional analysis, Sobolev spaces and partial differential equations
T2  - Universitext
SN  - 9780387709130 (pbk.)
AV  - QA320 .B73 2011
U1  - 515.7 22
PY  - 2011///
CY  - New York, London
PB  - Springer
KW  - Functional analysis
KW  - Differential equations, Partial
KW  - Sobolev spaces
N1  - 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; 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
ER  -