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

Cossetti, Lucrezia; Mandel, Rainer

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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Volltext §
DOI: 10.5445/IR/1000124275
Veröffentlicht am 07.10.2020
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 2020
Sprache Englisch
Identifikator ISSN: 2365-662X
KITopen-ID: 1000124275
Verlag KIT, Karlsruhe
Umfang 28 S.
Serie CRC Preprint ; 2020/26
Projektinformation SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019)
Externe Relationen Siehe auch
Schlagwörter time-harmonic Maxwell's equations, Limiting Absorption Principle, Helmholtz systems
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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