Existence and nonexistence of global solutions to fast diffusions with source
Existence and nonexistence of global solutions to fast diffusions with source
We consider positive solutions to the Cauchy problem for quasilinear parabolic equations dtu = Au 171 + u p with max{0,1 -2/N} < m < 1 < p, where N is the space dimension.Putting p^ =m + 2/N, we shall show that if p < p^, then all nontrivial solutions …