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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 , . 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 -tensor fields whose support lies inside a disk of radius 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 . 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 , with . Our primary objective is to recon…