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- W3214950024 abstract "We consider the null-controllability of a non-local heat equation by interior $L^2(Omega)$ controls. We confirm a conjecture of Lissy and Zuazua by showing that it is enough to assume that the kernel $k(x,xi)$ is symmetric and $k(x,xi)in L^2(OmegatimesOmega)$ in order to obtain the result. The result is obtained by treating the non-local linear operator $K:L^2(Omega)rightarrow L^2(Omega)$ as a compact and bounded perturbation of the Dirichlet-Laplacian, $A$, which leads to useful bounds on the semigroup generated by $(A+K,mathcal{D}(A))$. Using this approach, we are also able to estimate the cost of control." @default.
- W3214950024 created "2021-12-06" @default.
- W3214950024 creator A5009753135 @default.
- W3214950024 date "2021-11-18" @default.
- W3214950024 modified "2023-09-27" @default.
- W3214950024 title "Null-Controllability of a Non-Local Heat Equation" @default.
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