小测度缺陷下Maxwell方程解的唯一性

Uniqueness of Solutions of Maxwell’s Equations in the Presence of Defects with Small Measurement

在基于已知背景区域内Maxwell方程解的唯一性基础上,研究了区域内存在缺陷时解的唯一性.通过讨论不同边值对应不同特征值的特点获得了当缺陷在测度足够小时解的唯一性依旧成立的结论,并且将该结论延伸至相对一般结构的小测度缺陷的情况.

Under the condition that the uniqueness of the solutions of Maxwell s equations in the background region is known, this paper studies the uniqueness of the solutions in the region in the presence of defects. By studying the eigenvalue problems for different boundary conditions, we obtain the uniqueness in the presence of defects with small measurement, and then we extent the result to general small measurement defects.