Optimal Holder regularity for nonautonomous Kolmogorov equations

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Lorenzi, L.
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Abstract
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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 $D_tu={\mathscr A}u+f$, $u(0,\cdot)=g$.
Comment: To appear on a special issue of DCDS-S
Keywords
Mathematics - Analysis of PDEs, Primary: 35B65, Secondary: 35K15, 35R05
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