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Smoothness of solutions of parabolic equations in regions with edges

Published online by Cambridge University Press:  22 January 2016

A. Azzam  and
E. Kreyszig
A. Azzam
Affiliation:
Department of Mathematics, University of Windsor, Windsor, Ontario, Canada
E. Kreyszig
Affiliation:
Department of Mathematics, University of Windsor, Windsor, Ontario, Canada
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We consider the mixed initial-boundary value problem for the parabolic equation

in a region Ω × (0, T], where x = (x1, x2) and Ω ⊂ R2 is a simply-connected bounded domain having corners.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 84 , December 1981 , pp. 159 - 168
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

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