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20172026
most citedReconstruction for the coefficients of a quasilinear elliptic partial differential equation

58 citations · 105 across the 26 of their papers we have counts for

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Showing 2020 · math.APShow all

5 papers · 2 filters

math.AP2020★ 6 cited

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…

math.AP2020★ 1 cited

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…

math.AP2020★ 3 cited

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…

math.AP2020

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…

math.AP2020★ 8 cited

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…