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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.14239 |
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Table of Contents:
- We study evolutionary equations in exponentially weighted $\mathrm{L}^{2}$-spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the $ν$-adjoint system, which turns out to describe a system backwards in time. We prove well-posedness for the $ν$-adjoint system. We then apply the thus obtained duality to introduce and study notions of null-controllability for evolutionary equations.