Global existence and stability of solutions for Kirchhoff-type parabolic system with logarithmic source term

Tuğrul Cömert, Erhan Pişkin

This paper deals with the initial-boundary value problem for Kirchhoff-type parabolic system with logarithmic source term. We discuss the global existence and exponential energy decay estimates of weak solutions under some conditions by employing potential method.

Advanced Studies: Euro-Tbilisi Mathematical Journal, Special Issue (10 - 2021), pp. 153-170