Cauchy problem for doubly nonlinear parabolic equations with initial data measures

被引：5

作者：

Shang, Haifeng ^{[1
]}

Deng, Lihua ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 02期

关键词：

Doubly nonlinear parabolic equation; Cauchy problem; Strongly nonlinear source; Initial trace; Measures as initial data; P-LAPLACIAN EQUATIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2011.09.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of solutions for the doubly nonlinear parabolic equation with strongly nonlinear source under optimal assumptions on the initial data, which are assumed to be measures. We also obtain some local regularity estimates for the supercritical case q > m(p - 1) + p/N. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：721 / 740

页数：20

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