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

Authors : Tuğrul CÖMERT, Erhan PİŞKİN

Pages : 118-127

Doi:10.33773/jum.962057

View : 17 | Download : 6

Publication Date : 2021-07-31

Article Type : Research Paper

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}+insert ignore into journalissuearticles values(-\Delta );^{m}u=uln insert ignore into journalissuearticles values(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