## Seminar 4.3.2021: Marek Fila

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

Moderator: sevcovic

### Seminar 4.3.2021: Marek Fila

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

Thursday 4.3.2021 at 14:00

Marek Fila (KAMŠ FMFI UK):
Solutions with snaking singularities for the fast diffusion equation

https://teams.microsoft.com/l/meetup-jo ... afe3%22%7d

Abstract:
We construct solutions of the fast diffusion equation, which exist for all $t\in\R$ and are singular on the set
$\Gamma(t):= \{ \xi(s) ; -\infty <s \leq ct \}$, $c>0$, where $\xi\in C^3(\R;\R^n)$, $n\geq 2$.
We also give a precise description of the behavior of the solutions near $\Gamma(t)$.
This is a joint work with John King, Jin Takahashi and Eiji Yanagida.
quittner

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