A theorem on uniform correctness of a Cauchy problem and its application

DOI10.1007/BF01077842zbMath0581.47027OpenAlexW2025020773MaRDI QIDQ1067586

Gennadiy Gubreev

Publication date: 1984

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077842

zbMATH Keywords

maximal dissipative extensionKrein theoremextension of a generator of \(C_ 0\)-semigroupuniformly correct Cauchy problem

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05) Dilations, extensions, compressions of linear operators (47A20) Linear differential equations in abstract spaces (34G10) Linear accretive operators, dissipative operators, etc. (47B44)

Cites Work

• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
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