川原算子近似定理及其在控制理论中的应用

Pub Date : 2024-07-10 DOI:10.1002/mana.202300235

Roberto de A. Capistrano-Filho, Luan S. de Sousa, Fernando A. Gallego

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引用次数: 0

摘要

本文考虑了川原方程在无界域上求解时的控制特性。确切地说，本文的主要结果与近似定理有关，该近似定理确保了 .根据 [23]，该问题被简化为证明一个近似定理，而这要归功于川原算子的全局卡勒曼估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Approximation theorem for the Kawahara operator and its application in the control theory

Control properties of the Kawahara equation are considered when the equation is posed on an unbounded domain. Precisely, the paper's main results are related to an approximation theorem that ensures the exact (internal) controllability in $(0, + \infty)$ . Following [23], the problem is reduced to prove an approximate theorem which is achieved thanks to a global Carleman estimate for the Kawahara operator.

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