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Approximation by herglotz wave functions

✍ Scribed by Norbert Weck

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
86 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

By a general argument, it is shown that Herglotz wave functions are dense (with respect to the C^∞^(Ω)‐topology) in the space of all solutions to the reduced wave equation in Ω. This is used to provide corresponding approximation results in global spaces (eg. in L2‐Sobolev‐spaces H^m^(Ω)) and for boundary data. Copyright © 2004 John Wiley & Sons, Ltd.

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