Duality for Evolutionary Equations With Applications to Null Controllability
Abstract
ABSTRACT We study evolutionary equations in exponentially weighted ‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ‐adjoint system. We then apply the obtained duality to introduce and study notions of null controllability for evolutionary equations.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
Nonlinear Differential Equations Analysis
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Mathematical Methods in the Applied Sciences
- Volume
- 49
- Issue
- 5
- Pages
- 4144–4166
- Publication date
- 11 January 2026
- Language
- EN