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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 boundary behavior, Helmholtz equation
MSC Classifications: 31B25, 35J05 show english descriptions Boundary behavior
Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx]
31B25 - Boundary behavior
35J05 - Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx]
 

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