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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
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