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REGULARITY OF A PARABOLIC EQUATION SOLUTION IN A NONSMOOTH AND UNBOUNDED DOMAIN
Part of
- Parabolic equations and systems
BOUBAKER-KHALED SADALLAH
Journal:

Journal of the Australian Mathematical Society / Volume 84 / Issue 2 / April 2008

Published online by Cambridge University Press:

01 April 2008, pp. 265-276

Print publication:

April 2008
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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