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The cost of approximate controllability of heat equation with general dynamical boundary conditions
Portugaliae Mathematica ( IF 0.5 ) Pub Date : 2021-06-02 , DOI: 10.4171/pm/2061
Idriss Boutaayamou 1 , Salah-Eddine Chorfi 2 , Lahcen Maniar 3 , Omar Oukdach 2
Affiliation  

We consider the heat equation with dynamic boundary conditions involving gradient terms in a bounded domain. In this paper we study the cost of approximate controllability for this equation. Combining new developed Carleman estimates and some optimization techniques, we obtain explicit bounds of the minimal norm control. We consider the linear and the semilinear cases.

中文翻译:

具有一般动力边界条件的热方程近似可控性的代价

我们考虑具有动态边界条件的热方程,包括有界域中的梯度项。在本文中,我们研究了该方程的近似可控性成本。结合新开发的 Carleman 估计和一些优化技术,我们获得了最小范数控制的明确界限。我们考虑线性和半线性情况。
更新日期:2021-06-03
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