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
DOI: https://doi.org/10.18514/MMN.2022.3894


Download: MMN-3894