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REGULARITY OF A PARABOLIC EQUATION SOLUTION IN A NONSMOOTH AND UNBOUNDED DOMAIN

Part of: Parabolic equations and systems

Published online by Cambridge University Press:  01 April 2008

BOUBAKER-KHALED SADALLAH
BOUBAKER-KHALED SADALLAH*
Affiliation:
Laboratoire Equations aux Dérivées Partialles et Histoire des Mathématiques, Department of Mathematics, École Normale Supérieure, 16050-Kouba, Algiers, Algeria (email: [email protected])
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Abstract

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This work is concerned with the problem posed in the domain which is not necessary rectangular, and with Our goal is to find some conditions on the coefficient c and the functions ( φi) i=1,2 such that the solution of this problem belongs to the Sobolev space

Keywords

parabolicheat equationnonsmooth domainsectorial

MSC classification

Secondary: 35K05: Heat equation 35K20: Initial-boundary value problems for second-order parabolic equations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 84 , Issue 2 , April 2008 , pp. 265 - 276
Copyright
Copyright © 2008 Australian Mathematical Society

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