Extinction of solutions to a class of fast diffusion systems with nonlinear sources

Yuzhu Han, Wenjie Gao

In this paper, the finite time extinction of solutions to the fast diffusion system $u_t=\mathrm{div}(|\nabla u{|}^{p-2}\nabla u)+v^m$, $v_t=\mathrm{div}(|\nabla v|^{q-2}\nabla v)+u^…