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Schauder estimates for degenerate elliptic and parabolic problems with unbounded coefficients in $$\mathbb R^N$$. (English) Zbl 1212.35255
A class of second-order degenerate elliptic operators is considered. Schauder estimates are proved for the distributional solutions of the nonhomogeneous elliptic equation $$\lambda u-\mathcal A u=f$$ and the Cauchy problem $$D_tu=\mathcal Au+g$$, $$u(0,\cdot)=f$$.

##### MSC:
 35K65 Degenerate parabolic equations 35J70 Degenerate elliptic equations 35B65 Smoothness and regularity of solutions to PDEs 35K15 Initial value problems for second-order parabolic equations
##### Keywords:
Schauder estimates