Bilinear control of evolution equations with unbounded lower order terms. Application to the Fokker–Planck equation
We study the exact controllability of the evolution equation \begin{equation*} u^{\prime }(t)+Au(t)+p(t)Bu(t)=0 \end{equation*} where $A$ is a nonnegative self-adjoint operator on a Hilbert space $X$ and $B$ is an unbounded linear operator on $X$, which is dominated by the square root of $A$. The...
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Main Authors: | Alabau-Boussouira, Fatiha, Cannarsa, Piermarco, Urbani, Cristina |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2024-05-01
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Series: | Comptes Rendus. Mathématique |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.567/ |
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