Seminar 17.10.2013: Marek Fila

Seminar on Qualitative Theory of Differential Equations
organized by P.Quittner, M.Fila and R.Kollar

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Seminar 17.10.2013: Marek Fila

Postby quittner » Thu Oct 03, 2013 12:58 pm

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

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.
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