58 citations · 105 across the 26 of their papers we have counts for
26 papers
Stable determination of damping and potential coefficients in a semilinear wave equation
Rahul Bhardwaj, Mandeep Kumar, Manmohan Vashisth
We consider an inverse problem for a semilinear wave equation with time-independent damping, linear potential, and nonlinear potential coefficients in a bounded domain of $\mathbb{…
A partial data coefficient identification inverse problem for a semilinear damped wave operator
Mandeep Kumar, Parveen Kumar, Manmohan Vashisth
This manuscript deals with a coefficient identification inverse problem for a semilinear damped wave operator in a bounded domain of . We establish the…
Reconstruction of time-dependent coefficients in a semilinear dynamical Schr{ö}dinger equation
Parveen Kumar, Gen Nakamura, Manmohan Vashisth
In the present manuscript, we study an inverse problem related to a semilinear dynamical Schr{ö}dinger equation with lower order terms, in a bounded domain of $\Rb^{1+n},n\geq 2$.…
Inverse problems for a nonlinear dynamical Schrödinger operator with magnetic potential
Mandeep Kumar, Boya Liu, Manmohan Vashisth
We study two inverse problems for a nonlinear dynamical Schrödinger equation with time-dependent magnetic and electric potentials. Under suitable analyticity assumptions, we show t…
Inverse problems for a coupled system of wave equations with point source-receiver data
Rahul Bhardwaj, Manmohan Vashisth
The present manuscript consists of inverse problems for a coupled system of wave equations with potential in . By establishing the fundamental solution to the aforeme…
Reconstruction of potential and damping coefficients in a semi-linear wave equation
Rahul Bhardwaj, Mandeep Kumar, Manmohan Vashisth
In this article, we investigate an inverse problem for a semi-linear wave equation posed on bounded domain in , with . Our primary objective is to recon…
Global Existence and Finite-Time Blow-Up for a Coupled Darcy-Forchheimer-Brinkman System with Quadratic Reaction Dynamics
Sahil Kundu, Manmohan Vashisth, Manoranjan Mishra
We study a nonlinear system coupling the Darcy-Forchheimer-Brinkman equations with a convection-diffusion-reaction equation, arising in reactive transport through porous media. The…
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…
Inversion of generalized V-line transforms of vector fields in
Rahul Bhardwaj, Rohit Kumar Mishra, Manmohan Vashisth
This article studies the inverse problem of recovering a vector field supported in , the disk of radius centered at the origin, through a set of generalized broke…
Boundary determination of coefficients appearing in a perturbed weighted -Laplace equation
Nitesh Kumar, Tanmay Sarkar, Manmohan Vashisth
We study an inverse boundary value problem associated with -Laplacian which is further perturbed by a linear second order term, defined on a bounded set in .…
Inverse problem for a time-dependent Convection-diffusion equation in admissible geometries
Rohit Kumar Mishra, Anamika Purohit, Manmohan Vashisth
We consider a partial data inverse problem for a time-dependent convection-diffusion equation on an admissible manifold. We prove that the time-dependent convection term and time-d…
Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners
Maarten V. de Hoop, Takashi Furuya, Ching-Lung Lin +2
We study the local recovery of an unknown piecewise constant anisotropic conductivity in EIT (electric impedance tomography) on certain bounded Lipschitz domains in $\mathbb{R}…
Reconstruction for the time-dependent coefficients of a quasilinear dynamical Schr{ö}dinger equation
Gen Nakamura, Tanmay sarkar, Manmohan Vashisth
We study an inverse problem related to the dynamical Schr{ö}dinger equation in a bounded domain of $\Rb^n,n\geq 2$. Since the concerned non-linear Schrödinger equation possesses a…
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…
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…
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…
Unique determination of the damping coefficient in the wave equation using point source and receiver data
Manmohan Vashisth
In this article, we consider the inverse problems of determining the damping coefficient appearing in the wave equation. We prove the unique determination of the coefficient from t…
Reconstruction for the coefficients of a quasilinear elliptic partial differential equation
Cătălin I. Cârstea, Gen Nakamura, Manmohan Vashisth
In this paper we consider an inverse coefficients problem for a quasilinear elliptic equation of divergence form , in a bounded smooth domain $…
A partial data inverse problem for the Convection-diffusion equation
Suman Kumar Sahoo, Manmohan Vashisth
In this article, we study the unique determination of convection term and the time-dependent density coefficient appearing in a convection-diffusion equation from partial Dirichlet…
An inverse problem for the relativistic Schrödinger equation with partial boundary data
Venkateswaran P. Krishnan, Manmohan Vashisth
We study the inverse problem of determining the vector and scalar potentials and , respectively, in the relativisti…