Spectral boundary value problems in Lipschitz domains for strongly elliptic systems in Banach spaces \(H_p ^\sigma\) and \(B_p^\sigma \)

DOI10.1007/s10688-008-0039-xzbMath1169.35362OpenAlexW2082924165MaRDI QIDQ1002830

M. S. Agranovich

Publication date: 26 February 2009

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

Full work available at URL: https://doi.org/10.1007/s10688-008-0039-x

zbMATH Keywords

weak solutionBesov spacestrong ellipticityLipschitz domainpotential spaceAbel-Lidskii summabilitycompleteness of root functionsdeterminant of a compact operatoroptimal resolvent estimateparabolic semigroup

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05)

Related Items (10)

Linear and nonlinear abstract differential equations of high order ⋮ Spectral problems in Lipschitz domains ⋮ Maximal regular abstract elliptic equations and applications ⋮ L^p resolvent estimates for variable coefficient elliptic systems on Lipschitz domains ⋮ Sturm–Liouville problems in weighted spaces in domains with non-smooth edges. II ⋮ Estimates of approximation numbers and applications ⋮ \(L^p\) resolvent estimates for constant coefficient elliptic systems on Lipschitz domains ⋮ Degenerate anisotropic differential operators and applications ⋮ Spectral problems in Sobolev-type Banach spaces for strongly elliptic systems in Lipschitz domains ⋮ Separability properties of singular degenerate abstract differential operators and applications

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