Optimal Holder regularity for nonautonomous Kolmogorov equations

Details Optimal Holder regularity for nonautonomous Kolmogorov equations Optimal Holder regularity for nonautonomous Kolmogorov equations

2009-11-08

arxiv.org/abs/0911.1548v1

Mathematics

Analysis of PDEs

To appear on a special issue of DCDS-S

Scientific paper

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

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