Seminar 18.3.2021: Petra Mackova

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

Thursday 18.3.2021 at 14:00

Petra Macková (KAMŠ FMFI UK):
Solutions with anisotropic standing singularities for the fast diffusion equation

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

Abstract:
In this joint work with Marek Fila, Jin Takahashi, and Eiji Yanagida,
we study non-negative singular solutions of the fast diffusion equation.
In contrast to our previous work, we now construct solutions whose behavior
near the standing singularity is anisotropic,
i.e. they are no longer asymptotically radially symmetric.