3 papers
math.OC2026
Small-time global controllability of a class of bilinear fourth-order parabolic equations
Subrata Majumdar, Debanjit Mondal
In this work, we address the small-time global controllability properties of a class of fourth-order nonlinear parabolic equations driven by bilinear controls posed on the one-dime…
math.AP2025
Linear Test Approach to Global Controllability of Higher-Order Nonlinear Dispersive Equations with Finite-Dimensional Control
Debanjit Mondal
We investigate a class of higher-order nonlinear dispersive equations posed on the circle, subject to additive forcing by a finite-dimensional control. Our main objective is to est…
math.AP2024
Global Controllability of the Kawahara Equation at Any Time
Sakil Ahamed, Debanjit Mondal
In this article, we prove that the nonlinear Kawahara equation on the periodic domain \(\mathbb{T}\) (the unit circle in the plane) is globally approximately controllable in \(H^s(…