Strichartz estimates for Maxwell equations in media: the structured case in two dimensions

ARCHIV DER MATHEMATIK(2023)

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摘要
We prove Strichartz estimates for the two dimensional Maxwell equations with diagonal Lipschitz permittivity of special structure. The estimates have no loss in regularity that occurs in general for C^1 -coefficients. In the charge-free case, we recover Strichartz estimates local-in-time for Euclidean wave equations in two dimensions up to endpoints.
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关键词
Maxwell system,Strichartz estimates,Lipschitz coefficients
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