各向异性小缺陷共振的渐近展开
Asymptotic Expansions for Resonances in the Presence of Small Anisotropic Imperfections
摘要：
我们提供了一个严格的推导的渐近公式的扰动引起的谐振值的存在有限数量的各向异性缺陷的小形状与本构参数不同的背景电导率。渐近展开进行相对于的缺陷的大小。该方法的主要特点是产生一个强大的程序，使其能够恢复有关的各向异性缺陷的位置，形状和材料特性的信息。
英文摘要：
We provide a rigorous derivation of an asymptotic formula for perturbations in the resonance values caused by the presence of finite number of anisotropic imperfections of small shapes with constitutive parameters different from the background conductivity. The asymptotic expansion is carried out with respect to the size of the imperfections. The main feature of the method is to yield a robust procedure making it possible to recover information about the location, shape, and material properties of the anisotropic imperfections.
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