Parametric Dependence of Boundary Trace Inequalities

DOI10.1007/978-1-4614-7333-6_18zbMath1321.46034OpenAlexW2226717118MaRDI QIDQ5248412

J. F. G. Auchmuty

Publication date: 7 May 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7333-6_18

zbMATH Keywords

bases of Sobolev spacesSteklov eigenproblemsRobin eigenproblemscomparisons of eigenvaluesspectral representations of weak solutions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) (H^p)-spaces (42B30)

Cites Work

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• Imbeddings and bounds for functions with \(L^{q}\)-Laplacians
• Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems
• Spectral Characterization of the Trace Spaces ${H^s({\partial \Omega})}$
• Robin boundary value problems on arbitrary domains

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