Existence and nonexistence of global solutions for doubly nonlinear diffusion equations with logarithmic nonlinearity

Electronic Journal of Qualitative Theory of Differential Equations

Le Xuan Truong¹  Cong Le Nhan² 

[1] University of Economics, Ho Chi Minh City, Vietnam;VNUHCM - University of Science, Ho Chi Minh City, Vietnam & HCMC University of Technology and Education, Ho Chi Minh City, Vietnam;

关键词: global existence;    blow-up;    asymptotic behavior;    logarithmic nonlinearity;   

DOI  :  10.14232/ejqtde.2018.1.67

来源: DOAJ

【 摘 要 】

In this paper, we study an initial-boundary value problem for a doubly nonlinear diffusion equation with logarithmic nonlinearity. By using the potential well method, we give some threshold results on existence or nonexistence of global weak solutions in the case of initial data with energy less than or equal to potential well depth. In addition, the asymptotic behavior of solutions is also discussed.

【 授权许可】

Unknown