Moving singularities for nonlinear diffusion equations in two space dimensions

被引：0

作者：

Marek Fila

Petra Macková

Jin Takahashi

Eiji Yanagida

机构：

[1] Comenius University,Department of Applied Mathematics and Statistics

[2] Tokyo Institute of Technology,Department of Mathematical and Computing Science

[3] Tokyo Institute of Technology,Department of Mathematics

来源：

Journal of Elliptic and Parabolic Equations | 2020年 / 6卷

关键词：

Porous medium equation; Fast diffusion; Singular solution; Moving singularity; 35K65; 35K67; 35A02; 35B40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We construct solutions with prescribed moving singularities for equations of porous medium type in two space dimensions. This complements a previous study of the problem where only dimensions higher than two were considered.

引用

页码：155 / 169

页数：14

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