The finite speed of propagation of solutions of the Neumann problem of a degenerate parabolic equation

被引：0

作者：

Pan, Jiaqing ^{[1
]}

机构：

[1] Jimei Univ, Inst Math, Xiamen, Peoples R China

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2011年 / 9卷 / 03期

关键词：

Speed of propagation; Continuous dependence on nonlinearity; Large time behavior; Neumann problem; Degenerate parabolic equation; POROUS-MEDIUM EQUATION; BOUNDARY-VALUE PROBLEM; CONTINUOUS DEPENDENCE; BEHAVIOR;

D O I：

10.2478/s11533-011-0020-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the finite speed of propagation of solutions and the continuous dependence on the nonlinearity of a degenerate parabolic partial differential equation are discussed. Our objective is to derive an explicit expression for the speed of propagation and the large time behavior of the solution and to show that the solution continuously depends on the nonlinearity of the equation.

引用

页码：673 / 685

页数：13

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