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
收藏
页码：155 / 169
页数：14
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