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arXiv · 2106.16164

Global Strichartz estimates for an inhomogeneous Maxwell system

Piero D'Ancona·Roland Schnaubelt
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Abstract

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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Piero D'Ancona, Roland Schnaubelt. 2021-06-30. Global Strichartz estimates for an inhomogeneous Maxwell system. https://arxiv.org/abs/2106.16164

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