Schauder estimates for degenerate elliptic and parabolic problems with unbounded coefficients in ${\Bbb R}^N$

Abstract

We consider a class of second-order degenerate elliptic operators. Continuing the study started in [3], we prove Schauder estimates for the distributional solutions of the nonhomogeneous elliptic equation $\lambda u-{\mathcal A}u=f$ and the Cauchy problem $D_tu={\mathcal A}u+g$, $u(0,\cdot)=f$.