论文标题

LIPSCHITZ稳定性对于具有动态边界条件的各向异性抛物线方程中的逆源问题

Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions

论文作者

Hassi, E. M. Ait Ben, Chorfi, S. E., Maniar, L., Oukdach, O.

论文摘要

在本文中,我们研究了线性抛物线系统的逆问题,该系统具有可变的扩散系数,受动态边界条件的影响。我们证明了基于Carleman估计此类问题的最新估计,我们证明了全球Lipschitz稳定性,涉及从单个测量和内部观察结果同时恢复两个源术语。

In this paper, we study an inverse problem for linear parabolic system with variable diffusion coefficients subject to dynamic boundary conditions. We prove a global Lipschitz stability for the inverse problem involving a simultaneous recovery of two source terms from a single measurement and interior observations, based on a recent Carleman estimate for such problems.

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