Backward motion and waiting time phenomena for degenerate parabolic equations with nonlinear gradient absorption

被引：3

作者：

Namlyeyeva, Yu V. ^{[1
]}

Taranets, R. M. ^{[1
,2
]}

机构：

[1] NAS Ukraine, Inst Appl Math & Mech, UA-83114 Donetsk, Ukraine

[2] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

来源：

MANUSCRIPTA MATHEMATICA | 2011年 / 136卷 / 3-4期

关键词：

HAMILTON-JACOBI EQUATIONS; CAUCHY-PROBLEM; EXTINCTION; SUPPORTS; DYNAMICS;

D O I：

10.1007/s00229-011-0454-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study energy solutions of a Cauchy problem for the p-Laplace evolution equation with nonlinear gradient absorption and nonnegative compactly supported initial data. We obtain the sufficient local asymptotic conditions on initial data that imply the backward motion and waiting time phenomena.

引用

页码：475 / 500

页数：26

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