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arXiv · 2009.05087

A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations

Lucrezia Cossetti·Rainer Mandel
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Abstract

In this work we investigate the L^p-L^q-mapping properties of the resolvent associated with the time-harmonic isotropic Maxwell operator. As spectral parameters close to the spectrum are also covered by our analysis, we obtain an L^p-L^q-type Limiting Absorption Principle for this operator. Our analysis relies on new results for Helmholtz systems with zero order non-Hermitian perturbations. Moreover, we provide an improved version of the Limiting Absorption Principle for Hermitian (self-adjoint) Helmholtz systems.

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Lucrezia Cossetti, Rainer Mandel. 2020-09-10. A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations. https://arxiv.org/abs/2009.05087

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