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On solutions of parabolic equations in regions with edges

Published online by Cambridge University Press:  17 April 2009

A. Azzam  and
E. Kreyszig
A. Azzam
Affiliation:
Department of Mathematics, University of Windsor, Windsor, Ontario N9B3P4, Canada.
E. Kreyszig
Affiliation:
Department of Mathematics, University of Windsor, Windsor, Ontario N9B3P4, Canada.
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Abstract

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In this paper, smoothness properties of solutions of the initial-Dirichlet problem for parabolic equations in regions with edges are considered. We obtain bounds for solutions and derivatives, and prove the Hölder continuity of the first derivatives and of the second derivatives multiplied by a suitable power of the distance from the edges.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 22 , Issue 2 , October 1980 , pp. 219 - 230
Copyright
Copyright © Australian Mathematical Society 1980

References

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