W2,1p-solvability for the parabolic Poincare problem

被引：10

作者：

Softova, LG ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, Sofia, Bulgaria

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 29卷 / 11-12期

关键词：

uniformly parabolic operator; degenerate oblique derivative problem; neutral-type vector field; strong solvability;

D O I：

10.1081/PDE-200040199

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Poincare problem for linear uniformly parabolic operator 91 with discontinuous coefficients. The boundary operator is defined in terms of oblique derivative with respect to a vector field I which points outward the domain or becomes tangential to the boundary on a set of possibly positive measure. A 'priori estimates and unique strong solvability are obtained in W-p(2,1)(Q) for all p epsilon (1, infinity).

引用

页码：1783 / 1798

页数：16