BLOW UP AT INFINITY OF WEAK SOLUTIONS FOR A HIGHER-ORDER PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY

Year 2021, Volume: 4 Issue: 2, 118 - 127, 31.07.2021

Tuğrul Cömert , Erhan Pişkin

https://doi.org/10.33773/jum.962057

Cited By: 1

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

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