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.