000 01467 a2200253 4500
010 _a2010938382
020 _a0387709134 (pbk.)
020 _a9780387709130 (pbk.)
035 _a
082 0 4 _a515.7
090 _c27253
_d27253
546 _aeng
245 _aFunctional analysis, Sobolev spaces and partial differential equations
_cHaim Brezis
260 _aNew York
_aLondon
_bSpringer
_c2011
300 _axiii, 599 p
_bill
_c24 cm
490 _aUniversitex
500 _aOriginally published in French as Analyse fonctionelle, thorie et applications (Paris: Masson, c1983) ; this English edition contains revisions and added exercises
505 _aThe 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
650 _aFunctional analy
650 _aDifferential equations, Part
650 _aSobolev spa
830 _aUniversitext
942 _aIMAR
_cCART
_sEP
_k515.7
999 _c26959
_d26959