各向异性导热体中不定常夹杂的唯一性
Uniqueness of time-dependent inclusions in anisotropic heat conductive bodies
摘要:
考虑了一类非光滑导热系数的热传导方程的边值问题,该方程描述了运动物体在非均匀背景中的位移。利用Dirichlet-to-Neumann算子的知识,利用动力学探针方法证明了运动包含的唯一性。
英文摘要:
We consider an inverse boundary value problem for the heat equation with a nonsmooth coefficient of conductivity which models the displacement of a moving body inside a nonhomogeneous background. We prove the uniqueness of the moving inclusion from the knowledge of the Dirichlet-to-Neumann operator by using a dynamical probe method.
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