On the weak solution of the Neumann problem for the 2D Helmholtz equation in a convex cone and Hs regularity

We extend previous results for the Neumann boundary value problem to the case of boundary data from the space \documentclass{article}\usepackage{amssymb}\usepackage{amsbsy}\usepackage[mathscr]{euscript}\footskip=0pc\pagestyle{empty}\begin{document}$H^{-\frac{1}{2}+\varepsilon}(\Gamma), 0{

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2011-01, Vol.34 (1), p.24-43
Main Authors: Merzon, A. E., Speck, F.-O., Villalba-Vega, T. J.
Format: Article
Language:English
Subjects:
2D angle
Boundaries
Boundary value problems
Exact sciences and technology
Functional analysis
Helmholtz equation
Helmholtz equations
Mathematical analysis
Mathematics
Neumann problem
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, boundary value problems
Regularity
Representations
Sciences and techniques of general use
Sobolev space
Two dimensional
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Description
Summary:We extend previous results for the Neumann boundary value problem to the case of boundary data from the space \documentclass{article}\usepackage{amssymb}\usepackage{amsbsy}\usepackage[mathscr]{euscript}\footskip=0pc\pagestyle{empty}\begin{document}$H^{-\frac{1}{2}+\varepsilon}(\Gamma), 0{
ISSN:0170-4214
1099-1476
1099-1476
DOI:10.1002/mma.1326