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 (Formula presented.) 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.
Global Strichartz estimates for an inhomogeneous Maxwell system / D'Ancona, P.; Schnaubelt, R.. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - 47:3(2022), pp. 630-675. [10.1080/03605302.2021.1998910]
Global Strichartz estimates for an inhomogeneous Maxwell system
D'Ancona P.
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2022
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 (Formula presented.) 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.File allegati a questo prodotto
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