On a parabolic equation in a triangular domain

被引：16
|
作者：
Labbas, R
Medeghri, A
Sadallah, BK
机构：
[1] Univ Havre, Math Lab, FST, F-76058 Le Havre, France
[2] Univ Havre, IUT, F-76610 Le Havre, France
[3] Ecole Normale Super, Dept Math, Algiers 16050, Algeria
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 130卷 / 2-3期
关键词：
sum of linear operators; heat equation on non-cylindrical domain; interpolation spaces;
D O I：
10.1016/S0096-3003(01)00113-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the optimal regularity, in Sobolev spaces, of the solution of a parabolic equation set in a triangular domain T. The right-hand term of the equation is taken in Lebesgue space LP(T). The method of operators sums in the non-commutative case is referred to. (C) 2002 Elsevier Science Inc. All rights reserved.
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页码：511 / 523
页数：13
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