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arXiv · 0911.1548

Optimal Holder regularity for nonautonomous Kolmogorov equations

L. Lorenzi
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Abstract

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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L. Lorenzi. 2009-11-08. Optimal Holder regularity for nonautonomous Kolmogorov equations. https://arxiv.org/abs/0911.1548

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