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

Le, Nhan Cong and Le, Truong Xuan: Existence and nonexistence of global solutions for doubly nonlinear diffusion equations with logarithmic nonlinearity. Electronic journal of qualitative theory of differential equations 67. pp. 1-25. (2018)

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Abstract

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.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 67
Page Range: pp. 1-25
ISSN: 1417-3875
Uncontrolled Keywords: Differenciálegyenlet - nemlineáris, Diffúzió - matematikai modell
Additional Information: Bibliogr.: p. 22-25. ; Összefoglalás angol nyelven
Date Deposited: 2018. Nov. 07. 11:21
Last Modified: 2018. Nov. 07. 11:21
URI: http://acta.bibl.u-szeged.hu/id/eprint/55737

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