EXACT CONTROLLABILITY FOR A SCHR\"ODINGER EQUATION WITH DYNAMIC BOUNDARY CONDITIONS

被引：2

作者：

Mercado, Alberto ^{[1
]}

Morales, Roberto ^{[1
]}

机构：

[1] Univ Tecn Federico Santa Maria, Dept Matemat, Casilla 110-V, Valparaiso, Chile

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2023年 / 61卷 / 06期

关键词：

Schrodinger equation; dynamic boundary conditions; exact controllability; Carleman; estimates; NULL CONTROLLABILITY; SCHRODINGER-EQUATIONS; PARABOLIC EQUATIONS; INVERSE PROBLEM; WAVE-EQUATION; HEAT-EQUATION; OBSERVABILITY;

D O I：

10.1137/21M1439407

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study the controllability of a Schr\"odinger equation with mixed boundary conditions on disjoint subsets of the boundary: dynamic boundary condition of Wentzell type and Dirichlet boundary condition. The main result of this article is given by new Carleman estimates for the associated adjoint system, where the weight function is constructed specially adapted to the geometry of the domain. Using these estimates, we prove the exact controllability of the system with a boundary control acting only in the part of the boundary where the Dirichlet condition is imposed. Also, we obtain a distributed exact controllability result for the system.

引用

页码：3501 / 3525

页数：25

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