论文标题
Lipschitz域中麦克斯韦系统的定量痕量估计
Quantitative Trace Estimates for the Maxwell system in Lipschitz Domains
论文作者
论文摘要
我们开发了Lipschitz域中各向异性麦克斯韦系统的各种定量估计值，重点是估计如何准确取决于该域的Lipschitz特征。我们特别注意在某些Sobolev空间上的跟踪操作员和扩展运营商。最后，我们根据外部calderón操作员提供了内部散射问题的薄弱表述，并根据入射场和域的Lipschitz特性为解决方案提供明确的界限。
We develop various quantitative estimates for the anisotropic Maxwell system in Lipschitz domains, with a focus on how the estimates precisely depend on the Lipschitz character of the domain. We pay special attention to trace operators and extension operators over certain Sobolev spaces. Finally, we provide a weak formulation of the interior scattering problem in terms of the exterior Calderón operator, and provide explicit bounds for the solution of the interior problem in terms of the incident fields and the Lipschitz character of the domain.
