- Journal of Universal Mathematics
- Vol: 4 Issue: 2
- BLOW UP AT INFINITY OF WEAK SOLUTIONS FOR A HIGHER-ORDER PARABOLIC EQUATION WITH LOGARITHMIC NONLINE...
BLOW UP AT INFINITY OF WEAK SOLUTIONS FOR A HIGHER-ORDER PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY
Authors : Tuğrul Cömert, Erhan Pişkin
Pages : 118-127
Doi:10.33773/jum.962057
View : 17 | Download : 4
Publication Date : 2021-07-31
Article Type : Research
Abstract :The main goal of this work is to study the inital boundary value problem for a higher-order parabolic equation with logarithmic source term u_{t}+(-\Delta )^{m}u=uln (u). We obtain blow-up at infinity of weak solutions, by employing potential well technique. This improves and extends some previous studies.Keywords : Higher-order parabolic equation, Blow up, Logarithmic nonlinearity