Le, Nhan Cong and Le, Truong Xuan: Existence and nonexistence of global solutions for doubly nonlinear diffusion equations with logarithmic nonlinearity. In: 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 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-25 |
| 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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