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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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.
DOI : 10.4064/sm-128-2-171-198

Alessandra Lunardi 1

1
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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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