Partial regularity and singular set of solutions to second order parabolic systems

被引：2

作者：

Leone, C. ^{[1
]}

Pisante, G. ^{[2
]}

Verde, A. ^{[1
]}

机构：

[1] Univ Naples Federico 2, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy

[2] Univ Naples 2, Dipartimento Matemat, I-81100 Caserta, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 341卷 / 02期

关键词：

partial regularity; parabolic systems; singular sets;

D O I：

10.1016/j.jmaa.2007.10.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we deal with the study of regularity properties of weak solutions to nonlinear, second-order parabolic systems of the type u(t) - div A(Du) = 0, (x, t) is an element of Omega x (-T, 0) = Omega(T), where Omega subset of R-n is a bounded domain, T > 0, A : R-nN -> R-N and u : Omega(T) -> R-N. In particular we provide higher fractional differentiability, partial regularity and estimates for the dimension of the singular sets of weak solutions under minimal regularity hypotheses on A. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：931 / 952

页数：22

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