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.