MMN-3894
Global existence and exponential decay of solutions for higher-order parabolic equation with logarithmic nonlinearity
Tugrul Cömert; Erhan Piskin;Abstract
This paper deal with the initial boundary value problem for a higher-order parabolic equation with logarithmic source term
u_{t}+(-\Delta )^{m}u=u^{r-2}u\ln\left\vert u\right\vert.
We show that the global existence of weak solution, by employing the potential wells technique. Also, we obtain the exponential decay for the weak solutions.
Vol. 23 (2022), No. 2, pp. 595-605