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A+ CATEGORY SCIENTIFIC UNIT

Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in

Volume 128 / 1998

Alessandra Lunardi Studia Mathematica 128 (1998), 171-198 DOI: 10.4064/sm-128-2-171-198

Abstract

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.

Authors

  • Alessandra Lunardi

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