Brézis, Haïm Analyse fonctionnelle. Théorie et applications. (French) Zbl 0511.46001 Collection Mathématiques Appliquées pour la Maîtrise. Paris etc.: Masson. XIV, 233 p. FF 125.00 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 7 ReviewsCited in 1412 Documents MSC: 46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis 47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory 47F05 General theory of partial differential operators 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 46B03 Isomorphic theory (including renorming) of Banach spaces 46B10 Duality and reflexivity in normed linear and Banach spaces 46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators 47E05 General theory of ordinary differential operators 47D03 Groups and semigroups of linear operators 47A53 (Semi-) Fredholm operators; index theories Keywords:heat equation; Laplace and Poisson equation; Dirichlet and Neumann problems; Cauchy problem; Sobolev spaces; elliptic equations; Lax-Milgram theorem; Hille-Yosida theorem; wave equation; compact operators; Riesz-Fredholm theory; spectral decomposition; selfadjoint compact operators; \(L^p\)-spaces; compactness × Cite Format Result Cite Review PDF