Palestras e Seminários
13/10/2021
09:00
online / à distância
Palestrante: Eiji Yanagida (Tokyo Institute of Technology)
Webinar on Evolution Equations and Dynamical Systems
Resumo: Motivated by the celebrated paper of Baras and Goldstein (1984), we study the heat equation with a Hardy-type singular potential. In particular, we are interested in the case where the singular point moves in time. In the subcritical case, when the motion of the singularity is not so quick, it is shown that there exist two types of positive solutions. On the other hand, when the singularity moves like a fractional Brownian motion, there exists a positive solution in a wider range of parameters.
