Life span of solutions for a quasilinear parabolic equation with initial data having positive limit inferior at infinity

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Takefumi Igarashi¹ 

[1] College of Science and Technology, Nihon University

关键词: Life span;    quasilinear parabolic equation;    Cauchy problem;    blow-up.;   

DOI  :  10.3792/pjaa.89.63

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We present a new upper bound of the life span of positive solutions of a quasilinear parabolic equation for the initial data having positive limit inferior at space infinity. The upper bound is expressed by the data in limit inferior, not in every direction, but around a specific direction. It is also shown that the minimal time blow-up occurs when the initial data attain its maximum at space infinity.

【 授权许可】

Unknown