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

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 tha...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Le Nhan Cong
Le Truong Xuan
Dokumentumtípus: Folyóirat
Megjelent: 2018
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet - nemlineáris, Diffúzió - matematikai modell
Online Access:http://acta.bibl.u-szeged.hu/55737
Leíró adatok
Tartalmi kivonat: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.
Terjedelem/Fizikai jellemzők:1-25
ISSN:1417-3875