Inverse problems for the fractional-Laplacian with lower order non-local perturbations
Inverse problems for the fractional-Laplacian with lower order non-local perturbations
复制标题
DOI：
10.1090/tran/8151
复制
发表时间：
2021-03
影响因子：
1.3
通讯作者：
Sombuddha Bhattacharyya;T. Ghosh;G. Uhlmann
中科院分区：
文献类型：
--
作者：
Sombuddha Bhattacharyya;T. Ghosh;G. Uhlmann
在这篇文章中，我们引入了一个模型，其特征在于一个具有半透明边界的有界区域中的Lévy过程，通过考虑具有低阶非局部扰动的分数Laplacian算子。我们研究了模型的适定性、某些定性性质和Runge型逼近。此外，我们考虑的反问题，确定我们的模型中的未知系数从相应的柯西数据的外部测量。我们还讨论了所有未知系数的恢复从一个单一的测量。引用
In this article, we introduce a model featuring a Lévy process in a bounded domain with semi-transparent boundary, by considering the fractional Laplacian operator with lower order non-local perturbations. We study the wellposedness of the model, certain qualitative properties and Runge type approximation. Furthermore, we consider the inverse problem of determining the unknown coefficients in our model from the exterior measurements of the corresponding Cauchy data. We also discuss the recovery of all the unknown coefficients from a single measurement. References