Seminár z kvalitatívnej teórie diferenciálnych rovníc - Marek Fila (6.4.2017)

vo štvrtok 6.4.2017 o 14:00 hod. v posluchárni M/223


27. 03. 2017 13.58 hod.
Od: Pavol Quittner

Prednášajúci: Marek Fila

Názov prednášky: Slow growth of solutions of super-fast diffusion equations with unbounded initial data

Termín: 6.4.2017, 14:00 hod., M/223


Abstrakt:

We study positive solutions of the super-fast diffusion equation in the whole space with initial data which are unbounded. We find an explicit dependence of the slow temporal growth rate of solutions on the initial spatial growth rate. A new class of self-similar solutions plays a significant role in our analysis.

This is a joint work with Michael Winkler.