Approximation theorem for the Kawahara operator and its application in the control theory-Reference-Cited by-同舟云学术

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

Published:2024-07-10 Issue:9 Volume:297 Page:3546-3566
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

Capistrano‐Filho Roberto de A.¹^ORCID,de Sousa Luan S.²,Gallego Fernando A.³

Affiliation:

1. Departamento de Matemática Universidade Federal de Pernambuco Recife (PE) Brazil

2. Núcleo de Formação Docente Universidade Federal de Pernambuco Caruaru Brazil

3. Departamento de Matemática Universidad Nacional de Colombia (UNAL) Manizales Colombia

Abstract

AbstractControl 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 . Following [23], the problem is reduced to prove an approximate theorem which is achieved thanks to a global Carleman estimate for the Kawahara operator.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.202300235

Reference28 articles.

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2. Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations

3. Solitary wave solution for the generalized Kawahara equation

4. Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation

5. Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces