Spectral representations of solutions of linear elliptic equations on exterior regions

DOI10.1016/j.jmaa.2012.07.023zbMath1258.35052OpenAlexW2008124328MaRDI QIDQ691803

Qi Han, J. F. G. Auchmuty

Publication date: 4 December 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.023

zbMATH Keywords

regularized LaplacianSteklov eigenproblemstrace operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Series solutions to PDEs (35C10)

Related Items

Von Neumann indices and classes of positive definite functions ⋮ Steklov representations of Green's functions for Laplacian boundary value problems ⋮ Representations of solutions of Laplacian boundary value problems on exterior regions ⋮ Positive solutions of elliptic problems involving both critical Sobolev nonlinearities on exterior regions ⋮ Well‐posedness and approximation of solutions of linear divergence‐form elliptic problems on exterior regions ⋮ Laplace's equation with concave and convex boundary nonlinearities on an exterior region

Cites Work

• Bases and comparison results for linear elliptic eigenproblems
• The Robin and Wentzell-Robin Laplacians on Lipschitz domains
• Inverse positivity for general Robin problems on Lipschitz domains
• Functional analysis, Sobolev spaces and partial differential equations
• Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems
• Spectral Characterization of the Trace Spaces ${H^s({\partial \Omega})}$
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