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Boundary Behavior of Solutions of the Helmholtz Equation

Published:2009-12-01
Printed: Dec 2009
• Kentaro Hirata
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Abstract

This paper is concerned with the boundary behavior of solutions of the Helmholtz equation in $\mathbb{R}^\di$. In particular, we give a Littlewood-type theorem to show that the approach region introduced by Kor\'anyi and Taylor (1983) is best possible.
 Keywords: boundary behavior, Helmholtz equation
 MSC Classifications: 31B25 - Boundary behavior 35J05 - Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx]

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