58 citations · 105 across the 26 of their papers we have counts for
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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…
Reconstruction of time-dependent coefficients in a semilinear dynamical Schr{ö}dinger equation
Parveen Kumar, Gen Nakamura, Manmohan Vashisth
In the present manuscript, we study an inverse problem related to a semilinear dynamical Schr{ö}dinger equation with lower order terms, in a bounded domain of $\Rb^{1+n},n\geq 2$.…
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…
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…
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…
Global Existence and Finite-Time Blow-Up for a Coupled Darcy-Forchheimer-Brinkman System with Quadratic Reaction Dynamics
Sahil Kundu, Manmohan Vashisth, Manoranjan Mishra
We study a nonlinear system coupling the Darcy-Forchheimer-Brinkman equations with a convection-diffusion-reaction equation, arising in reactive transport through porous media. The…