Seminár z kvalitatívnej teórie diferenciálnych rovníc

Štvrtok 17.10.2013 o 14:15 v posluchárni M-223

Marek Fila (KAMŠ FMFI UK):

Extinction of solutions of the fast diffusion equation

Abstrakt:

We consider positive solutions of the Cauchy problem

for the fast diffusion equation. Sufficient conditions

for extinction of solutions in finite time are well known.

We shall discuss results on the asymptotic behavior of solutions

near the extinction time obtained in collaboration with

John R. King, Juan Luis Vazquez, Michael Winkler and Eiji Yanagida.

We shall pay particular attention to a critical case with slow asymptotics.