Differentiable solutions of the second order elliptic equation

2014

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DOI 10.1063/1.4893796
Data confidence 70 medium
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Abstract

We study the second order elliptic equation with discontinuous intermediate coefficients. The variable coefficients and the right-hand side of this equation belong to some space M of type F. We find necessary and sufficient conditions on M for continuous differentiability of the solution to the above equation, when M is a space of type F or a symmetric space, or one of a Sobolev or a Besov space.