Polynomial and Analytic Boundary Feedback Stabilization of Square Plate
Document title: Polynomial and Analytic Boundary Feedback Stabilization of Square Plate
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000394689
ISSN: 0037-8712
Authors: 1
Institutions: 1Universite de Monastir, Faculte des Sciences de Monastir, Monastir. Túnez
Year:
Volumen: 27
Number: 2
Pages: 23-34
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract We consider a boundary feedback stabilization problem of the plate equation in a square, in the case where the geometric condition of Ammari-Tucsnak [6] is not satisfied. We prove a polynomial decay for regular initial data. Moreover, we prove an exponential stability result for some subspace of the energy space. Finally, we give a precise estimate on the analyticity of reachable functions where we have an exponential stability
Disciplines: Matemáticas
Keyword: Matemáticas aplicadas,
Matemáticas puras,
Ecuaciones diferenciales parciales,
Estabilidad exponencial,
Sistemas dinámicos,
Ecuación de onda,
Funciones analíticas,
Controlabilidad
Keyword: Mathematics,
Applied mathematics,
Pure mathematics,
Partial differential equations,
Exponential stability,
Dynamical systems,
Wave equation,
Analytic functions,
Controllability
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