Optimal Holder regularity for nonautonomous Kolmogorov equations
classification
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keywords
mathscrnonautonomousoptimalcauchycdotclasscoefficientsconsider
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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 $D_tu={\mathscr A}u+f$, $u(0,\cdot)=g$.
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