59 citations · 416 across the 90 of their papers we have counts for
9 papers · 1 filter
Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide
Yavar Kian, Diomba Sambou, Eric Soccorsi
We prove logarithmic stability in the parabolic inverse problem of determining the space-varying factor in the source, by a single partial boundary measurement of the solution to t…
Recovery of time-dependent coefficient on Riemanian manifold for hyperbolic equations
Yavar Kian, Lauri Oksanen
Given , a compact connected Riemannian manifold of dimension , with boundary , we study the inverse boundary value problem of determining a time-depend…
Logarithmic stability in determining the time-dependent zero order coefficient in a parabolic equation from a partial Dirichlet-to-Neumann map. Application to the determination of a nonlinear term
Mourad Choulli, Yavar Kian
We give a new stability estimate for the problem of determining the time-dependent zero order coefficient in a parabolic equation from a partial parabolic Dirichlet-to-Neumann map.…
An inverse problem for the magnetic Schrödinger equation in infinite cylindrical domains
Mourad Bellassoued, Yavar Kian, Eric Soccorsi
We study the inverse problem of determining the magnetic field and the electric potential entering the Schrödinger equation in an infinite 3D cylindrical domain, by Dirichlet-to-Ne…
Recovery of time-dependent damping coefficients and potentials appearing in wave equations from partial data
Yavar Kian
We consider the inverse problem of determining a time-dependent damping coefficient and a time-dependent potential , appearing in the wave equation $\partial_t^2u-Δ_x u+a(t,…
Hyperbolic inverse problem with data on disjoint sets
Yavar Kian, Yaroslav Kurylev, Matti Lassas +1
We consider a restricted Dirichlet-to-Neumann map associated to a wave type operator on a Riemannian manifold with boundary. The restriction corresponds to the case where the Diric…