Rahul Bhardwaj

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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…

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

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 $R^{2}$