Regularity in Besov spaces of parabolic PDEs
This talk is concerned with the regularity of solutions to parabolic evolution equations. Special attention is paid to the smoothness in the specific scales $\ B^{r}_{\tau,\tau}, \ \frac{1}{\tau}=\frac{r}{d}+\frac{1}{p}\ $ of Besov spaces. The regularity in these spaces determines the approximation order that can be achieved by fully space-time adaptive approximation schemes.