9 papers
Recovery of Sturm-Liouville operators from partial boundary spectral data and applications
Ali Feizmohammadi, Yavar Kian
We study the inverse Sturm-Liouville problem on a finite interval from partial knowledge of spectral data. Specifically, we show that the potential can be uniquely reconstructed fr…
Reconstruction of 1-D evolution equations and their initial data from one passive measurement
Ali Feizmohammadi
We study formally determined inverse problems with passive measurements for one dimensional evolution equations where the goal is to simultaneously determine both the initial data…
Inverse spectral problems with sparse data and applications to passive imaging on manifolds
Ali Feizmohammadi, Katya Krupchyk
Motivated by inverse problems with a single passive measurement, we introduce and analyze a new class of inverse spectral problems on closed Riemannian manifolds. Specifically, we…
Simultaneous Identification of Coefficients and Source in a Subdiffusion Equation from One Passive Measurement
Maolin Deng, Ali Feizmohammadi, Bangti Jin +1
This article is devoted to the detection of parameters in anomalous diffusion from a single passive measurement. More precisely, we consider the simultaneous identification of coef…
Fractional anisotropic Calderón problem with external data
Ali Feizmohammadi, Tuhin Ghosh, Katya Krupchyk +3
In this paper, we solve the fractional anisotropic Calderón problem with external data in the Euclidean space, in dimensions two and higher, for smooth Riemannian metrics that agr…
Entanglement principle for the fractional Laplacian with applications to inverse problems
Ali Feizmohammadi, Yi-Hsuan Lin
We prove an entanglement principle for fractional Laplace operators on for as follows; if different fractional powers of the Laplace operator acting on seve…