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...

詳細記述

書誌詳細
主要な著者: Alabau-Boussouira, Fatiha, Cannarsa, Piermarco, Urbani, Cristina
フォーマット: 論文
言語:English
出版事項: Académie des sciences 2024-05-01
シリーズ:Comptes Rendus. Mathématique
オンライン・アクセス:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.567/