Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$

Alessandra Lunardi

ArticleOriginal scientific text

Title

Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$

Authors ¹

Affiliations

Dipartimento di Matematica, Università di Parma, Via D'Azeglio 85/A, 43100 Parma, Italy

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.

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Title

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

Affiliations

Abstract

Bibliography

Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$