In this paper we show that the solutions of a divergence form elliptic equation with piece-wise Hoelder continuous coefficients have optimal regularity. The problem arises in studying afiber-reinforced composite media described as a domain D with a finite number of subdomains representing the fibers. The coefficients of the operator loose regularity along the boundaries of the subdomains. We prove that the solution is of class C^{1, alpha}.

A sharp regularity result of solutions of a transmission problem

CITTI, GIOVANNA;FERRARI, FAUSTO
2012

Abstract

In this paper we show that the solutions of a divergence form elliptic equation with piece-wise Hoelder continuous coefficients have optimal regularity. The problem arises in studying afiber-reinforced composite media described as a domain D with a finite number of subdomains representing the fibers. The coefficients of the operator loose regularity along the boundaries of the subdomains. We prove that the solution is of class C^{1, alpha}.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/110743
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