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Seminar 19.11.2015: Tatsuki Kawakami

PostPosted: Thu Nov 05, 2015 5:26 pm
by quittner
Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Thursday 19.11.2015 at 14:00 Lecture room M-223

Tatsuki Kawakami (Osaka Prefecture University a Universita degli Studi di Milano):
Existence of mild solutions for the Hamilton-Jacobi equation
with critical fractional viscosity in the Besov spaces

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).