Lower bounds for blow-up time in a parabolic problem with a gradient term under various boundary conditions

Kodai Mathematical Journal

Giuseppe Viglialoro¹  Stella Vernier Piro¹  Monica Marras¹ 

[1] Dipartimento di Matematica e Informatica

关键词: Nonlinear parabolic problems;    Blow-up;    Gradient nonlinearity;   

DOI  :  10.2996/kmj/1414674607

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(12)This paper deals with the blow-up phenomena of the solution u of a nonlinear parabolic problem with a gradient nonlinearity and time dependent coefficients. By using techniques based on Sobolev type and differential inequalities, we derive explicit lower bounds for the blow-up time, if blow-up occurs, when different boundary conditions are taken into account.

【 授权许可】

Unknown