5 papers · 1 filter
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…
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…
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…
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 is…