19 citations · 46 across the 10 of their papers we have counts for
10 papers
Point sources and stability for an inverse problem for a hyperbolic PDE with space and time dependent coefficients
Venkateswaran P. Krishnan, Rakesh, Soumen Senapati
We study stability aspects for the determination of space and time-dependent lower order perturbations of the wave operator in three space dimensions with point sources. The proble…
Fixed angle inverse scattering for almost symmetric or controlled perturbations
Rakesh, Mikko Salo
We consider the fixed angle inverse scattering problem and show that a compactly supported potential is uniquely determined by its scattering amplitude for two opposite fixed angle…
The fixed angle scattering problem and wave equation inverse problems with two measurements
Rakesh, Mikko Salo
We consider two formally determined inverse problems for the wave equation in more than one space dimension. Motivated by the fixed angle inverse scattering problem, we show that a…
Recovering initial values from light cone traces of solutions of the wave equation
Rakesh, Tao Yuan
We consider the problem of recovering the initial value, from the trace on the light cone, of the solution of an initial value problem for the wave equation. When the space is odd…
The point source inverse back-scattering problem
Rakesh, Gunther Uhlmann
We consider the inverse problem of recovering a potential by measuring the response at a point to a source located at the same point and then varying the point on the surface of a…
Uniqueness for the inverse backscattering problem for angularly controlled potentials
Rakesh, Gunther Uhlmann
We consider the problem of recovering a smooth, compactly supported potential on R^3 from its backscattering data. We show that if two such potentials have the same backscattering…