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Paper detail

A local regularity result for the relaxed micromorphic model based on inner variations

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.

preprint2022arXivOpen access
Dorothee KneesSebastian OwczarekPatrizio Neff
math.AP
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Dorothee KneesSebastian OwczarekPatrizio Neff

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