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

IF 0.8 3区 数学 Q2 MATHEMATICS Mathematische Nachrichten 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

Abstract

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 , + ) $(0,+\infty)$ . 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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川原算子近似定理及其在控制理论中的应用
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。
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来源期刊
CiteScore
1.50
自引率
0.00%
发文量
157
审稿时长
4-8 weeks
期刊介绍: Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index
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Issue Information Contents Solvability of invariant systems of differential equations on H 2 $\mathbb {H}^2$ and beyond Issue Information Contents
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