1. A SHARP REGULARITY RESULT OF SOLUTIONS OF A TRANSMISSION PROBLEM.
- Author
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Citti, Giovanna and Ferrari, Fausto
- Subjects
- *
FIBROUS composites , *MATRICES (Mathematics) , *ELLIPTIC equations , *PIECEWISE linear approximation , *MATHEMATICS - Abstract
In this paper we study the regularity of solutions of a transmission problem arising in studying a fiber-reinforced composite media. It is described through a divergence type equation div(A∇u) = h, in an open set D, where h is a bounded function and A is a uniformly elliptic matrix, bounded and with piecewise Hölder continuous coefficients. The subdomains Di where A is of class Cα have disjoint closure and are of class C1,α. Exploiting an idea contained in a paper by Li and Vogelius, we obtain the optimal regularity result for solutions, proving that they are of class C1,α(D i). [ABSTRACT FROM AUTHOR]
- Published
- 2012
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