Blow-up analysis for a doubly nonlinear parabolic system with multi-coupled nonlinearities

Electronic Journal of Qualitative Theory of Differential Equations

Yanyan Ge¹  Jian Wang¹ 

[1] Ocean University of China, Qingdao, Shandong, P. R. China ;

关键词: doubly nonlinear parabolic system;    global existence;    blow up;    nonlinearity;   

DOI  :  10.14232/ejqtde.2012.1.1

来源: DOAJ

【 摘 要 】

This paper deals with the global existence and the global nonexistence of a doubly nonlinear parabolic system coupled via both nonlinear reaction terms and nonlinear boundary flux. The authors first establish a weak comparison principle, then by constructing various upper and lower solutions, some appropriate conditions for global existence andglobal nonexistence of solutions are determined respectively.

【 授权许可】

Unknown