3 papers
math.AP2026
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 operator with magnetic and electric potentials. Under suitable analyticity assumptions, we show that the Dirich…
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…
math.AP2025
Hölder stability estimates for the determination of time-independent potentials in a relativistic wave equation in an infinite waveguide
Mandeep Kumar, Philipp Zimmermann
The main goal of this article is to establish Hölder stability estimates for the Calderón problem related to a relativistic wave equation. The principal novelty of this article i…