Functional analysis, Sobolev spaces and partial differential equations
Functional analysis, Sobolev spaces and partial differential equations
Haim Brezis
- New York London Springer 2011
- xiii, 599 p ill 24 cm
- Universitex .
- Universitext .
Originally published in French as Analyse fonctionelle, thorie et applications (Paris: Masson, c1983) ; this English edition contains revisions and added exercises
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
eng
0387709134 (pbk.) 9780387709130 (pbk.)
2010938382
Functional analy
Differential equations, Part
Sobolev spa
515.7
Originally published in French as Analyse fonctionelle, thorie et applications (Paris: Masson, c1983) ; this English edition contains revisions and added exercises
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
eng
0387709134 (pbk.) 9780387709130 (pbk.)
2010938382
Functional analy
Differential equations, Part
Sobolev spa
515.7