The Cauchy-Dirichlet problem for parabolic equations with VMO coefficients

被引：8

作者：

Ragusa, MA ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Matemat, I-95125 Catania, Italy

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2005年 / 42卷 / 11-12期

关键词：

parabolic equations; Cauchy-Dirichlet problem;

D O I：

10.1016/j.mcm.2005.03.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this note, we prove the well posedness for a Cauchy-Dirichlet problem in the class W-p(1,2), for every p between 1 and infinity. The main part of the linear parabolic operator is symmetric, uniformly elliptic and belongs to the Sarason's class VMO. Consequently, we prove a boundary estimate of the solution u, where the related constant depends on coefficients only through the ellipticity constant and the VMO moduli. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1245 / 1254

页数：10

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