Lack of smoothing for bounded solutions of a semilinear parabolic equation

Advances in Nonlinear Analysis

article

Marek Fila¹  Johannes Lankeit¹ 

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

关键词: singular gradient;    semilinear parabolic equation;   

DOI  :  10.1515/anona-2020-0059

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

We study a semilinear parabolic equation that possesses global bounded weak solutions whose gradient has a singularity in the interior of the domain for all t > 0. The singularity of these solutions is of the same type as the singularity of a stationary solution to which they converge as t → ∞.

【 授权许可】

CC BY