| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000394703 |
| ISSN: | 0037-8712 |
| Authors: | Komornik, Vilmos1 |
| Institutions: | 1Universite de Strasbourg, Departement de Mathematique, Strasbourg, Haut-Rhin. Francia |
| Year: | 2010 |
| Volumen: | 28 |
| Number: | 2 |
| Pages: | 33-48 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | We consider the Korteweg–de Vries equation on a bounded interval with periodic boundary conditions. We prove that a natural mass conserving global feedback exponentially stabilizes the system in all Sobolev norms and we obtain explicit decay rates. The proofs are based on the family of conservation laws for the Korteweg–de Vries equation |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Ecuación Korteweg-de Vries, Leyes de conservación, Estabilización, Tasa de decaimiento, Controlabilidad exacta |
| Keyword: | Mathematics, Pure mathematics, Korteweg-de Vries equation, Conservation laws, Stabilization, Decay rate, Exact controllability |
| Full text: | Texto completo (Ver PDF) |
