scientific article; zbMATH DE number 865216

zbMath1147.46300MaRDI QIDQ4872115

Haim Brezis

Publication date: 15 April 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Sobolev spacesheat equationwave equationCauchy problemcompactnesselliptic equationsspectral decompositionselfadjoint compact operators\(L^p\)-spacescompact operatorsDirichlet and Neumann problemsHille-Yosida theoremLax-Milgram theoremRiesz-Fredholm theoryLaplace and Poisson equation

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Heat equation (35K05) Isomorphic theory (including renorming) of Banach spaces (46B03) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) (Semi-) Fredholm operators; index theories (47A53) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Duality and reflexivity in normed linear and Banach spaces (46B10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)

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