UNIQUENESS OF A VERY SINGULAR SOLUTION TO NONLINEAR DEGENERATE PARABOLIC EQUATIONS WITH ABSORPTION FOR DIRICHLET BOUNDARY CONDITION

被引：0

作者：

Nguyen Anh Dao ^{[1
]}

机构：

[1] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Degenerate parabolic equations; large solution; very singular solution; Dirac measure; POROUS-MEDIA EQUATION; TIME BEHAVIOR; HEAT-EQUATION; SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and uniqueness of singular solutions (fundamental solution, very singular solution, and large solution) of quasilinear parabolic equations with absorption for Dirichlet boundary condition. We also show the short time behavior of singular solutions as t tends to 0.

引用

页数：8

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