Classification of certain qualitative properties of solutions for the quasilinear parabolic equations

Yan Li, Zhengce Zhang, Liping Zhu

In this paper, we mainly consider the initial boundary problem for a quasilinear parabolic equation \[ u_t-\mathrm{div}\left(|\nabla u|^{p-2}\nabla u\right)=-|u|^{β-1}u+α|u|^{q-2}u…