Approximation theorem for the Kawahara operator and its application in the control theory
Corresponding Author
Roberto de A. Capistrano-Filho
Departamento de Matemática, Universidade Federal de Pernambuco, Recife (PE), Brazil
Correspondence
Roberto de A. Capistrano-Filho, Departamento de Matemática, Universidade Federal de Pernambuco, Av.Jornalista Aníbal Fernandes, s/n, Cidade Universitária, Recife (PE) 50740-560, Brazil.
Email: [email protected]
Search for more papers by this authorLuan S. de Sousa
Núcleo de Formação Docente, Universidade Federal de Pernambuco, Caruaru, Brazil
Search for more papers by this authorFernando A. Gallego
Departamento de Matemática, Universidad Nacional de Colombia (UNAL), Manizales, Colombia
Search for more papers by this authorCorresponding Author
Roberto de A. Capistrano-Filho
Departamento de Matemática, Universidade Federal de Pernambuco, Recife (PE), Brazil
Correspondence
Roberto de A. Capistrano-Filho, Departamento de Matemática, Universidade Federal de Pernambuco, Av.Jornalista Aníbal Fernandes, s/n, Cidade Universitária, Recife (PE) 50740-560, Brazil.
Email: [email protected]
Search for more papers by this authorLuan S. de Sousa
Núcleo de Formação Docente, Universidade Federal de Pernambuco, Caruaru, Brazil
Search for more papers by this authorFernando A. Gallego
Departamento de Matemática, Universidad Nacional de Colombia (UNAL), Manizales, Colombia
Search for more papers by this authorAbstract
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 . 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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