On a viscoelastic heat equation with logarithmic nonlinearity
This work deals with the following viscoelastic heat equations with logarithmic nonlinearity ut − ∆u + Z t 0 g(t − s)∆u(s)ds = |u| p−2u ln |u|. In this paper, we show the effects of the viscoelastic term and the logarithmic nonlinearity to the asymptotic behavior of weak solutions. Our results exten...
Saved in:
| Main Authors: | |
|---|---|
| Format: | Serial |
| Published: |
2022
|
| Series: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Hőegyenlet |
| Subjects: | |
| doi: | 10.14232/ejqtde.2022.1.55 |
| Online Access: | http://acta.bibl.u-szeged.hu/78340 |
| Summary: | This work deals with the following viscoelastic heat equations with logarithmic nonlinearity ut − ∆u + Z t 0 g(t − s)∆u(s)ds = |u| p−2u ln |u|. In this paper, we show the effects of the viscoelastic term and the logarithmic nonlinearity to the asymptotic behavior of weak solutions. Our results extend the results of Peng and Zhou [Appl. Anal. 100(2021), 2804–2824] and Messaoudi [Progr. Nonlinear Differential Equations Appl. 64(2005), 351–356.]. |
|---|---|
| ISSN: | 1417-3875 |