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.

引用

页码：511 / 523

页数：13

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