Seminar on Qualitative Theory of Differential Equations - Petra Macková (18.3.2021)
Thursday 18.3.2021 at 14:00, online
Petra Macková:
Solutions with anisotropic standing singularities for the fast diffusion equation
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.