Seminarium:
Dyskretna analiza harmoniczna i niekomutatywna probabilistyka
Osoba referująca:
Wojbor Woyczyński (Case Western Reserve University)
Data:
czwartek, 23. Maj 2019 - 10:15
Sala:
604
Opis:
We will discuss the interplay between
the nonlinear and nonlocal components of the evolution
equations. In the particular case of supercritical
multifractal conservation laws (CL) the asymptotic
behavior, as $t \neq 1$, is dictated by the linearized case.
For $\alpha <1$ , the equations driven by infinitesimal generators
of Levy -stable diffusions the solution exhibit
shocks (for bounded, odd, and convex on R+, initial
data) which disappear over a nite time. For Levy
-Linnik diffusions, $0 < \alpha < 2$ , the local behavior is
strikingly different. The relevant CLs display shocks
that do not dissipate over time.