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arxiv: 2106.16164 · v1 · pith:PUAMQZMWnew · submitted 2021-06-30 · 🧮 math.AP

Global Strichartz estimates for an inhomogeneous Maxwell system

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keywords estimatesmaxwellstrichartzsystemassumptionsconditioncorrespondingdata
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We show global-in-time Strichartz estimates for the isotropic Maxwell system with divergence free data. On the scalar permittivity and permeability we impose decay assumptions as $|x|\to\infty$ and a non-trapping condition. The proof is based on smoothing estimates in weighted $L^2$ spaces which follow from corresponding resolvent estimates for the underlying Helmholtz problem.

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