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- Publisher
- Springer Journals
- Copyright
- Copyright © 2016 by Springer Science+Business Media Dordrecht
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-016-0055-4
- Publisher site
- See Article on Publisher Site
Abstract
This paper is concerned with a null controllability problem for the Korteweg-de Vries equation with finite number of constraints on the state. We first let the equation evolve freely on a small time interval. Then, we consider the linearized system on the rest interval. Transforming the linearized problem into an equivalent problem of null controllability with constraints on the control, we solve the equivalent problem using an adapted Carleman estimate. Finally, by a fixed-point argument, we obtain the main result.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Mar 31, 2016