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arXiv · 2108.07691

Strichartz estimates for Maxwell equations in media: The partially anisotropic case

Robert Schippa
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Abstract

We prove Strichartz estimates for solutions to Maxwell equations in three dimensions with rough permittivities, which have less than three different eigenvalues. To this end, Maxwell equations are conjugated to half-wave equations in phase space. We use the Strichartz estimates in a known combination with energy estimates to show the new well-posedness results for quasilinear Maxwell equations.

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Robert Schippa. 2021-08-17. Strichartz estimates for Maxwell equations in media: The partially anisotropic case. https://arxiv.org/abs/2108.07691

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