Seminar 23.10.2014: Marek Fila

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

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Seminar 23.10.2014: Marek Fila

Postby quittner » Mon Oct 20, 2014 9:37 am

Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Štvrtok 23.10.2014 o 14:00, poslucháreň M-223

Marek Fila (KAMŠ):
Rate of Convergence to Separable Solutions of the Fast Diffusion Equation

Abstrakt:
We study the asymptotic behaviour near extinction of positive solutions
of the Cauchy problem for the fast diffusion equation with a subcritical exponent.
We show that separable solutions are stable in some suitable sense by
finding a class of functions which belong to their domain of attraction.
For solutions in this class we establish optimal rates of convergence to
separable solutions. This is a joint work with Michael Winkler.
quittner
 
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