Geodesic
Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$
Studia Mathematica, Tome 128 (1998) no. 2, pp. 171-198

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DOI

We study existence, uniqueness, and smoothing properties of the solutions to a class of linear second order elliptic and parabolic differential equations with unbounded coefficients in $ℝ^n$. The main results are global Schauder estimates, which hold in spite of the unboundedness of the coefficients. 
Alessandra Lunardi. Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$. Studia Mathematica, Tome 128 (1998) no. 2, pp. 171-198. doi: 10.4064/sm-128-2-171-198
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