24/04/2001, 12:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Stig-Olof Londen, Helsinky University of Technology
On some fractional evolution equations
In this talk, we review some recent results on fractionalevolution equations of type $D^\alpha_t u+ Au = f$, $t\geq 0$,where $\alpha\in (0,2)$, $\alpha\neq 1$.
First, as a typical example, we consider the fractional Burgersequation. Next, we formulate a general result with $A$$m$-accretive. Some comments on maximal regularity follow; finallywe present an unsolved problem concerning fractional nonlinearhyperbolic equations.
