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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 2019 · math.APShow all

5 papers · 2 filters

math.AP2019★ 30 cited

The Light Ray transform in Stationary and Static Lorentzian geometries

Ali Feizmohammadi, Joonas Ilmavirta, Lauri Oksanen

Given a Lorentzian manifold, the light ray transform of a function is its integrals along null geodesics. This paper is concerned with the injectivity of the light ray transform on…

math.AP2019★ 32 cited

Recovery of zeroth order coefficients in non-linear wave equations

Ali Feizmohammadi, Lauri Oksanen

This paper is concerned with the resolution of an inverse problem related to the recovery of a scalar (potential) function from the source to solution map, of the semi-linear e…

math.AP2019★ 15 cited

An inverse problem for a semi-linear elliptic equation in Riemannian geometries

Ali Feizmohammadi, Lauri Oksanen

We study the inverse problem of unique recovery of a complex-valued scalar function , defined over a smooth compact Riemannian manifold…

math.AP2019★ 10 cited

Recovery of non-smooth coefficients appearing in anisotropic wave equations

Ali Feizmohammadi, Yavar Kian

We study the problem of unique recovery of a non-smooth one-form and a scalar function from the Dirichlet to Neumann map, , of a hyperbolic equat…

math.AP2019★ 45 cited

Recovery of time dependent coefficients from boundary data for hyperbolic equations

Ali Feizmohammadi, Joonas Ilmavirta, Yavar Kian +1

We study uniqueness of the recovery of a time-dependent magnetic vector-valued potential and an electric scalar-valued potential on a Riemannian manifold from the knowledge of the…