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Boundary Behavior of Solutions of the Helmholtz Equation

Published online by Cambridge University Press:  20 November 2018

Kentaro Hirata
Kentaro Hirata*
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan e-mail: hirata@math.akita-u.ac.jp
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Abstract

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This paper is concerned with the boundary behavior of solutions of the Helmholtz equation in ${{\mathbb{R}}^{n}}$. In particular, we give a Littlewood-type theorem to show that the approach region introduced by Korányi and Taylor (1983) is best possible.

Keywords

31B2535J05boundary behaviorHelmholtz equation
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 4 , 01 December 2009 , pp. 555 - 563
Copyright
Copyright © Canadian Mathematical Society 2009

References

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