EXISTENCE AND UNIQUENESS OF SINGULAR SOLUTIONS OF p-LAPLACIAN WITH ABSORPTION FOR DIRICHLET BOUNDARY CONDITION

被引：3

作者：

Nguyen Anh Dao ^{[1
]}

Diaz, Jesus Ildefonso ^{[2
]}

机构：

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

[2] Univ Complutense Madrid, Inst Matemat Interdisciplinar, E-28040 Madrid, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 12期

关键词：

Degenerate parabolic equations; large solution; very singular solution; Dirac measure; DEGENERATE PARABOLIC-SYSTEMS; HEAT-EQUATION; EVOLUTION;

D O I：

10.1090/proc/13647

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence and uniqueness of singular solutions of degenerate parabolic equations with absorption for zero homogeneous Dirichlet boundary condition. Moreover, we also get some estimates of the short time behavior of singular solutions.

引用

页码：5235 / 5245

页数：11

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