Seminár z kvalitatívnej teórie diferenciálnych rovníc

Štvrtok 18.4.2013 o 14:00 v miestnosti M-223

Marek Fila (KAMŠ FMFI UK):

Non-accessible singular homoclinic orbits for a semilinear parabolic equation

Abstrakt:

We show the existence of at least two different continuations beyond

blow-up for a backward self-similar solution of a supercritical Fujita equation.

At least one of these extended solutions cannot be approximated

by classical entire solutions in a specific way given by the scaling

invariance of the equation.