Global and blow-up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux

Journal of inequalities and applications

Changjun Li¹ 

关键词: quasilinear parabolic equations;    gradient term;    boundary flux;    blow-up;    global solution;   

DOI  :  10.1186/1029-242X-2014-234

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This work is concerned with positive classical solutions for a quasilinear parabolic equation with a gradient term and nonlinear boundary flux. We find sufficient conditions for the existence of global and blow-up solutions. Moreover, an upper bound for the ‘blow-up time’, an upper estimate of the ‘blow-up rate’ and an upper estimate of the global solution are given. Finally, some application examples are presented. MSC:35R45, 35K65, 34A12.

【 授权许可】

CC BY