Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$
Tom 128 / 1998
Studia Mathematica 128 (1998), 171-198
DOI: 10.4064/sm-128-2-171-198
Streszczenie
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.
