Seminár z kvalitatívnej teórie diferenciálnych rovníc - Tatsuki Kawakami (19.11.2015)
vo štvrtok 19.11.2015 o 14:00 hod. v miestnosti M/223
Prednášajúci: Tatsuki Kawakami (Osaka Prefecture University a Universita degli Studi di Milano)
Názov prednášky: Existence of mild solutions for the Hamilton-Jacobi equation with critical fractional viscosity in the Besov spaces
Termín: 19.11.2015, 14:00 hod., M/223
Abstrakt:
We consider the Cauchy problem for the Hamilton-Jacobi equation with critical dissipation. We show that for sufficiently small initial data, there exists a global-in-time mild solution. Furthermore, we prove that the solution behaves asymptotically like a suitable multiple of the Poisson kernel.
This talk is based on a joint work with Tsukasa Iwabuchi (Osaka city University, Japan).