45 citations · 298 across the 36 of their papers we have counts for
37 papers
Fractional Calderón problem with a potential
Ali Feizmohammadi, Katya Krupchyk, Gunther Uhlmann
We prove that the knowledge of local Cauchy data for a fractional Schrödinger equation on a smooth closed and connected Riemannian manifold of dimension at least two determines the…
The planar Calderón problem for potentials
Ali Feizmohammadi
We prove that the Dirichlet-to-Neumann map associated to the Schrödinger operator on a planar bounded Lipschitz domain uniquely determines an arbitrary complex-valued potent…
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…
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 agre…
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…
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…
Calderón problem for fractional Schrödinger operators on closed Riemannian manifolds
Ali Feizmohammadi, Katya Krupchyk, Gunther Uhlmann
We study an analog of the anisotropic Calderón problem for fractional Schrödinger operators with on closed Riemannian manifolds of dimensions two and hig…
Partial data inverse problems for reaction-diffusion and heat equations
Ali Feizmohammadi, Yavar Kian, Gunther Uhlmann
We study partial data inverse problems for linear and nonlinear parabolic equations with unknown time-dependent coefficients. In particular, we prove uniqueness results for partial…
Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation
Cătălin I. Cârstea, Ali Feizmohammadi
In this paper we prove a general uniqueness result in the inverse boundary value problem for the weighted p-Laplace equation in the plane, with smooth weights. We also prove a uniq…
Rigidity of inverse problems for nonlinear elliptic equations on manifolds
Ali Feizmohammadi, Yavar Kian, Lauri Oksanen
We consider the inverse problem of determining coefficients appearing in semilinear elliptic equations stated on Riemannian manifolds with boundary given the knowledge of the assoc…
Remarks on the anisotropic Calderón problem
Cătălin I. Cârstea, Ali Feizmohammadi, Lauri Oksanen
We show uniqueness results for the anisotropic Calderón problem stated on transversally anisotropic manifolds. Moreover, we give a convexity result for the range of Dirichlet-to-Ne…
An inverse boundary value problem for isotropic nonautonomous heat flows
Ali Feizmohammadi
We study an inverse boundary value problem on the determination of principal order coefficients in isotropic nonautonomous heat flows stated as follows; given a medium, and in the…
An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds
Ali Feizmohammadi, Tony Liimatainen, Yi-Hsuan Lin
Given a conformally transversally anisotropic manifold , we consider the semilinear elliptic equation We show that an a priori unk…
Fractional anisotropic Calderón problem on closed Riemannian manifolds
Ali Feizmohammadi, Tuhin Ghosh, Katya Krupchyk +1
In this paper we solve the fractional anisotropic Calderón problem on closed Riemannian manifolds of dimensions two and higher. Specifically, we prove that the knowledge of the loc…
Lorentzian Calderón problem near the Minkowski geometry
Spyros Alexakis, Ali Feizmohammadi, Lauri Oksanen
We study a Lorentzian version of the well-known Calderón problem that is concerned with determination of lower order coefficients in a wave equation on a smooth Lorentzian manifold…
An inverse problem for a quasilinear convection--diffusion equation
Ali Feizmohammadi, Yavar Kian, Gunther Uhlmann
We study the inverse problem of recovering a semilinear diffusion term as well as a quasilinear convection term in a nonlinear parabolic equation $$\…
Fractional Calderón problem on a closed Riemannian manifold
Ali Feizmohammadi
Given a fixed , we study the inverse problem of recovering the isometry class of a smooth closed and connected Riemannian manifold , given the knowledge of a sou…
Spacetime finite element methods for control problems subject to the wave equation
Erik Burman, Ali Feizmohammadi, Arnaud Munch +1
We consider the null controllability problem for the wave equation, and analyse a stabilized finite element method formulated on a global, unstructured spacetime mesh. We prove err…
The Calderón inverse problem for isotropic quasilinear conductivities
Cătălin I. Cârstea, Ali Feizmohammadi, Yavar Kian +2
We prove a global uniqueness result for the Calderón inverse problem for a general quasilinear isotropic conductivity equation on a bounded open set with smooth boundary in dimensi…
Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds
Ali Feizmohammadi, Katya Krupchyk, Lauri Oksanen +1
We show that a continuous potential can be constructively determined from the knowledge of the Dirichlet-to-Neumann map for the Schrödinger operator on a conformally t…
Lorentzian Calderón problem under curvature bounds
Spyros Alexakis, Ali Feizmohammadi, Lauri Oksanen
We introduce a method of solving inverse boundary value problems for wave equations on Lorentzian manifolds, and show that zeroth order coefficients can be recovered under certain…
A density property for tensor products of gradients of harmonic functions and applications
Cătălin I. Cârstea, Ali Feizmohammadi
We show that tensor products of gradients of harmonic functions, with at least three, are dense in , for any bounded domain in dimension 3 or higher. The…