29 citations · 51 across the 8 of their papers we have counts for
10 papers
Uniqueness and increasing stability in electromagnetic inverse source problems
Victor Isakov, Jenn-Nan Wang
In this paper we study the uniqueness and the increasing stability in the inverse source problem for electromagnetic waves in homogeneous and inhomogeneous media from boundary data…
Linearized inverse Schrödinger potential problem at a large wavenumber
Victor Isakov, Shuai Lu, Boxi Xu
We investigate recovery of the (Schrödinger) potential function from many boundary measurements at a large wavenumber. By considering such a linearized form, we obtain a Hölder typ…
Increasing stability in acoustic and elastic inverse source problems
Mozhgan Nora Entrekhabi, Victor Isakov
We study increasing stability in the inverse source problems for the Helmholtz equation and the classical Lame system from (minimal) boundary data at multiple wave numbers. By usin…
On increasing stability in the two dimensional inverse source scattering problem with many frequencies
Mozhgan Nora Entekhabi, Victor Isakov
In this paper, we will study increasing stability in the inverse source problem for the Helmholtz equation in the plane when the source term is assumed to be compactly supported in…
Increasing stability for the conductivity and attenuation coefficients
Ru-Yu Lai, Victor Isakov, Jenn-Nan Wang
In this work we consider stability of recovery of the conductivity and attenuation coefficients of the stationary Maxwell and Schrödinger equations from a complete set of (Cauchy)…
Increasing stability for near field from the scattering amplitude
Victor Isakov
We obtain stability estimates (with explicit constants) for the near field from the far field of a radiating solution of the Helmholtz equation. These estimates are based on new bo…
Increasing stability of the continuation for general elliptic equations of second order
Victor Isakov
We give stability estimates in the Cauchy problem for general partial differential equation of the elliptic type similar to the Helmholtz equation. We do not impose any (pseudo)con…
Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map
Victor Isakov, Jenn-Nan Wang
We derive some bounds which can be viewed as an evidence of increasing stability in the problem of recovering the potential coefficient in the Schrödinger equation from the Dirichl…
Recovery of time dependent volatility coefficient by linearization
Victor Isakov
We study the problem of reconstruction of special special time dependent local volatility from market prices of options with different strikes at two expiration times. For a genera…
Increasing stability of the inverse boundary value problem for the Schrödinger equation
V Isakov, S Nagayasu, G Uhlmann +1
In this work we study the phenomenon of increasing stability in the inverse boundary value problem for the Schrödinger equation. This problem was previously considered by Isakov in…