Existence and decay of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity

Erhan Pişkin, Tuğrul Cömert

This paper deals with the parabolic type Kirchhoff equation with logarithmic nonlinearity in a bounded domain. Firstly, we prove the local and global existence of solutions. Later, we investigate the decay of solutions. This improves and extend some previous studies. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 15(1) (2022), pp. 111-128