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20182026
most citedRecovery of time dependent coefficients from boundary data for hyperbolic equations

45 citations · 298 across the 36 of their papers we have counts for

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Showing 2020 · math.APShow all

6 papers · 2 filters

math.AP2020★ 7 cited

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…

math.AP2020★ 12 cited

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…

math.AP2020★ 7 cited

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…

math.AP2020★ 24 cited

An inverse boundary value problem for certain anisotropic quasilinear elliptic equations

Cătălin I. Cârstea, Ali Feizmohammadi

In this paper we prove uniqueness in the inverse boundary value problem for quasilinear elliptic equations whose linear part is the Laplacian and nonlinear part is the divergence o…

math.AP2020★ 4 cited

Inverse problems for non-linear hyperbolic equations with disjoint sources and receivers

Ali Feizmohammadi, Matti Lassas, Lauri Oksanen

The paper studies inverse problems of determining unknown coefficients in various semi-linear and quasi-linear wave equations. We introduce a method to solve inverse problems for n…

math.AP2020★ 5 cited

Global recovery of a time-dependent coefficient for the wave equation from a single measurement

Ali Feizmohammadi, Yavar Kian

We consider the formally determined inverse problem of recovering an unknown time-dependent potential function from the knowledge of the restriction of the solution of the wave equ…