학술논문
A local regularity result for the relaxed micromorphic model based on inner variations
Document Type
Working Paper
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Subject
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Abstract
In this paper we study local higher regularity properties of a linear elliptic system that is coupled with a system of Maxwell-type. The regularity result is proved by means of a modified finite difference argument. These modified finite differences are based on inner variations combined with a Piola-type transformation in order to preserve the $\curl$-structure in the Maxwell system. The result is applied to the relaxed micromorphic model.
Comment: 12 pages
Comment: 12 pages