Duality for evolutionary equations with applications to null controllability

Publikationstyp
Journal Article
Date Issued
2026-01-11
Sprache
English
Author(s)
Buchinger, Andreas
Mathematik E-10
Seifert, Christian
Mathematik E-10
TORE-DOI
10.15480/882.16581
TORE-URI
https://hdl.handle.net/11420/61095
Journal
Mathematical methods in the applied sciences
Volume
49
Issue
5
Start Page
4144
End Page
4166
Citation
Mathematical Methods in the Applied Sciences 49 (5): 4144-4166 (2026)
Publisher DOI
10.1002/mma.70339
Scopus ID
2-s2.0-105027435079
Publisher
Wiley
We study evolutionary equations in exponentially weighted (Formula presented.) -spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the (Formula presented.) -adjoint system, which turns out to describe a system backwards in time. We prove well-posedness for the (Formula presented.) -adjoint system. We then apply the obtained duality to introduce and study notions of null controllability for evolutionary equations.
Subjects
duality
evolutionary equations
null controllability
ν-adjoint system
DDC Class
515: Analysis
629.8: Control and Feedback Control Systems
Funding(s)
Projekt DEAL
Lizenz
https://creativecommons.org/licenses/by/4.0/
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