A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations
نویسندگان
چکیده
In this work we investigate the Lp−Lq-mapping properties of resolvent associated with time-harmonic isotropic Maxwell operator. As spectral parameters close to spectrum are also covered by our analysis, obtain an Lp−Lq-type Limiting Absorption Principle for Our analysis relies on new results Helmholtz systems zero order non-Hermitian perturbations. Moreover, provide improved version Hermitian (self-adjoint) systems.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2021
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2021.109233