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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Y Nguyen Van
Le Nhan Cong
Truong Le Xuan
Dokumentumtípus: Folyóirat
Megjelent: 2022
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Hőegyenlet
Tárgyszavak:
doi:10.14232/ejqtde.2022.1.55

Online Access:http://acta.bibl.u-szeged.hu/78340
Leíró adatok
Tartalmi kivonat: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