Optimal Holder regularity for nonautonomous Kolmogorov equations

Abstract

We consider a class of nonautonomous elliptic operators $\mathcal{A}$ with unbounded coefficients defined in $[0,T]\times {\mathbb{R}}^N$ and we prove optimal Schauder estimates for the solution to the parabolic Cauchy problem $D_{t}u=\mathcal{A}u+f$, $u(0,\cdot )=g$.

To appear on a special issue of DCDS-S

References in corpus (1)

• Elliptic and parabolic second-order PDEs with growing coefficients