5 citations · 14 across the 10 of their papers we have counts for
10 papers
Localizing acoustic and electromagnetic waves in space and time
Roland Griesmaier, Soumen Senapati
We study time-dependent acoustic and electromagnetic waves governed by the scalar wave equation or Maxwell's equations in a bounded three-dimensional domain. We establish the exist…
Minnaert Frequency and Simultaneous Reconstruction of the Density, Bulk and Source in the Time-Domain Wave Equation
Soumen Senapati, Mourad Sini
We deal with the inverse problem of reconstructing acoustic material properties or/and external sources for the time-domain acoustic wave model. The traditional measurements consis…
Recovering both the wave speed and the source function in a time-domain wave equation by injecting contrasting droplets
Soumen Senapati, Mourad Sini, Haibing Wang
Dealing with the inverse source problem for the scalar wave equation, we have shown recently that we can reconstruct the space-time dependent source function from the measurement o…
Extension problem for the fractional parabolic Lamé operator and unique continuation
Agnid Banerjee, Soumen Senapati
In this paper, we introduce and analyse an explicit formulation of fractional powers of the parabolic Lamé operator and we then study the extension problem associated…
The Calderón problem for space-time fractional parabolic operators with variable coefficients
Agnid Banerjee, Soumen Senapati
We study an inverse problem for variable coefficient fractional parabolic operators of the form for and show…
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…
Stability estimate for a partial data inverse problem for the convection-diffusion equation
Soumen Senapati, Manmohan Vashisth
In this article, we study the stability in the inverse problem of determining the time-dependent convection term and density coefficient appearing in the convection-diffusion equat…
Stability for a formally determined inverse problem for a hyperbolic PDE with space and time dependent coefficients
Venky Krishnan, Rakesh, Soumen Senapati
We prove stability for a formally determined inverse problem for a hyperbolic PDE where the coefficients depend on space and time variables. The hyperbolic operator has constant wa…
Stability estimates for relativistic Schrödinger equation from partial boundary data
Soumen Senapati
In this article we study stability aspects for the determination of time-dependent vector and scalar potentials in relativistic Schrödinger equation from partial knowledge of bound…
A uniqueness result for light ray transform on symmetric 2-tensor fields
Venkateswaran P Krishnan, Soumen Senapati, Manmohan Vashisth
We study light ray transform of symmetric 2-tensor fields defined on a bounded time-space domain in for . We prove a uniqueness result for such light ra…