Rahul Bhardwaj

activity

20242026

collaborators

8 papers

math.AP2026

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{…

math.AP2026

Stable determination of time-dependent coefficients in a reaction-diffusion-convection system

Rahul Bhardwaj, Parveen Kumar

In this manuscript, we investigate an inverse boundary value problem for a reaction-diffusion-convection system in a bounded domain of $R^{1 + n}$ , $n \geq 2$ . We aim to obta…

math.NA2026

V-Line Tensor Tomography in a Disk: Theoretical and Numerical Reconstruction

Rahul Bhardwaj, Madhu Gupta

In this article, we investigate V-line transforms for symmetric $m$ -tensor fields whose support lies inside a disk of radius $R$ and centered at the origin. We provide an explicit…

math.AP2026

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 $R^{3}$ . By establishing the fundamental solution to the aforeme…

math.AP2026

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 $R^{n + 1}$ , with $n \geq 2$ . Our primary objective is to recon…

math.AP2025

Reconstruction of a vector field and a symmetric $2$ -tensor field from the moment ray transforms in $R^{2}$

Rahul Bhardwaj, Karishman B. Solanki

We present a technique for recovering a vector field and a symmetric $2$ -tensor field, both real-valued and compactly supported in some strictly convex bounded domain with smooth b…

math.AP2025

Tensor tomography for a set of generalized V-line transforms in $R^{2}$

Rahul Bhardwaj

We study a set of generalized V-line transforms, namely longitudinal, mixed, and transverse V-line transforms, of a symmetric $m$ -tensor field in $R^{2}$ . The goal of this a…

math.CA2024

Inversion of generalized V-line transforms of vector fields in $R^{2}$

Rahul Bhardwaj, Rohit Kumar Mishra, Manmohan Vashisth

This article studies the inverse problem of recovering a vector field supported in $D_{R}$ , the disk of radius $R$ centered at the origin, through a set of generalized broke…

Stable determination of damping and potential coefficients in a semilinear wave equation

Stable determination of time-dependent coefficients in a reaction-diffusion-convection system

V-Line Tensor Tomography in a Disk: Theoretical and Numerical Reconstruction

Inverse problems for a coupled system of wave equations with point source-receiver data

Reconstruction of potential and damping coefficients in a semi-linear wave equation

Reconstruction of a vector field and a symmetric 2-tensor field from the moment ray transforms in R2

Tensor tomography for a set of generalized V-line transforms in R2

Inversion of generalized V-line transforms of vector fields in R2

Reconstruction of a vector field and a symmetric $2$ -tensor field from the moment ray transforms in $R^{2}$

Tensor tomography for a set of generalized V-line transforms in $R^{2}$

Inversion of generalized V-line transforms of vector fields in $R^{2}$