论文标题
Helmholtz系统和时间谐波各向同性麦克斯韦方程的限制吸收原理
A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations
论文作者
论文摘要
在这项工作中，我们研究了与时谐波各向同性麦克斯韦操作员相关的分解的L^p-l^Q映射属性。由于我们的分析也涵盖了接近光谱的光谱参数，因此我们获得了该操作员的L^p-l^Q-Type限制吸收原理。我们的分析依赖于具有零阶非热扰动的Helmholtz系统的新结果。此外，我们为Hermitian（自我接合）Helmholtz系统提供了改进的限制吸收原理。
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.
