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...

Full description

Saved in:
Bibliographic Details
Published inElectronic journal of qualitative theory of differential equations Vol. 2018; no. 67; pp. 1 - 25
Main Authors Nhan, Cong Le, Truong, Le
Format Journal Article
LanguageEnglish
Published University of Szeged 01.01.2018
Subjects
asymptotic behavior
blow-up
global existence
logarithmic nonlinearity
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2018.1.67