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Initial boundary value problem and asymptotic stabilization of the Camassa–Holm equation on an interval
- Source :
- Journal of Functional Analysis, Journal of Functional Analysis, Elsevier, 2010, 259, pp.2333-2365. ⟨10.1016/j.jfa.2010.06.007⟩
- Publication Year :
- 2010
- Publisher :
- Elsevier BV, 2010.
-
Abstract
- International audience; We investigate the nonhomogeneous initial boundary value problem for the Camassa-Holm equation on an interval. We provide a local in time existence theorem and a weak strong uniqueness result. Next we establish a result on the global asymptotic stabilization problem by means of a boundary feedback law.
- Subjects :
- Asymptotic analysis
Boundary (topology)
01 natural sciences
Initial boundary value problem
35G30
PDE control
93D20
93C20
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Camassa–Holm equation
Initial value problem
Boundary value problem
0101 mathematics
Camassa-Holm equation
Mathematics
010102 general mathematics
Mathematical analysis
Existence theorem
[INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]
16. Peace & justice
Asymptotic stabilization
76B15
010101 applied mathematics
Nonlinear Sciences::Exactly Solvable and Integrable Systems
[INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA]
Asymptotology
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
asymptotic stabilization AMS subject classifications 35Q53
Analysis
Subjects
Details
- ISSN :
- 00221236 and 10960783
- Volume :
- 259
- Issue :
- 9
- Database :
- OpenAIRE
- Journal :
- Journal of Functional Analysis
- Accession number :
- edsair.doi.dedup.....87c9555f6aab32d69641d5308d7513b3
- Full Text :
- https://doi.org/10.1016/j.jfa.2010.06.007