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An elliptic boundary problem in a half–space

✍ Scribed by Melvin Faierman; Manfred Möller

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
303 KB
Volume
257
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The spectral theory for general non–selfadjoint elliptic boundary problems involving a discontinuous weight function has been well developed under certain restrictions concerning the weight function. In the course of extending the results so far established to a more general weight function, there arises the problem of establishing, in an L~p~ Sobolev space setting, the existence of and a priori estimates for solutions for a boundary problem for the half–space ℝ^n^~+~ involving a weight function which vanishes at the boundary x~n~ = 0. In this paper we resolve this problem.

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