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A priori bounds for solutions of an elliptic equation

Published online by Cambridge University Press:  14 November 2011

M. Faierman
M. Faierman
Affiliation:
Department of Mathematics, University of the Witwatersrand, Johannesburg, South Africa
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Synopsis

In the general theory of non-selfadjoint elliptic boundary value problems involving an indefinite weight function, there arises the problem of obtaining a priori estimates for solutions about points of discontinuity of the weight function. Here we deal with this problem for the case where the weight function vanishes on a set of positive measure.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 122 , Issue 3-4 , 1992 , pp. 191 - 204
Copyright
Copyright © Royal Society of Edinburgh 1992

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