58 citations · 68 across the 5 of their papers we have counts for
10 papers · 1 filter
Stable determination of a time-dependent matrix potential for a wave equation in an infinite waveguide
Nitesh Kumar, Tanmay Sarkar, Manmohan Vashisth
We analyze the stability of an inverse problem for determining the time-dependent matrix potential appearing in the Dirichlet initial-boundary value problem for the wave equation i…
Inverse Initial Boundary Value Problem for a Non-linear Hyperbolic Partial Differential Equation
Gen Nakamura, Manmohan Vashisth, Michiyuki Watanabe
In this article we are concerned with an inverse initial boundary value problem for a non-linear wave equation in space dimension . In particular we consider the so called…
Uniqueness to inverse acoustic scattering from coated polygonal obstacles with a single incoming wave
Guang-Hui Hu, Manmohan Vashisth
It is proved that a connected polygonal obstacle coated by thin layers together with its surface impedance function can be determined uniquely from the far field pattern of a singl…
Uniqueness for time-dependent inverse problems with single dynamical data
Ibtissem Ben Aïcha, Guanghui Hu, Manmohan Vashisth +1
In this work, we investigate the shape identification and coefficient determination associated with two time-dependent partial differential equations in two dimensions. We consider…
Inverse time-harmonic electromagnetic scattering from coated polyhedral scatterers with a single far-field pattern
Guang-Hui Hu, Manmohan Vashisth, Jiaqing Yang
It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by the electric far-field pattern of a non-vanishing incident field. The incoming wave…
Determining the time dependent matrix potential in a wave equation from partial boundary data
Rohit Kumar Mishra, Manmohan Vashisth
We study the inverse problem for determining the time-dependent matrix potential appearing in the wave equation. We prove the unique determination of potential from the knowledge o…