On the critical lengths and controllability of the Kawahara equation
This paper deals with the exact controllability of the Kawahara equation posed on a finite interval with one boundary control. We prove that the local exact controllability of Kawahara equation holds provided that the length of the interval does not belong to a countable set of critical lengths.
Authors
- F. D. Araruna (ORCID: https://orcid.org/0000-0002-5481-4320)
- Lionel Rosier (ORCID: https://orcid.org/0000-0002-5602-9799)
- Gleb G. Doronin (ORCID: https://orcid.org/0000-0003-0673-7559)
Institutions
- Universidade Estadual de Maringá (BR)
- Universidade Federal da Paraíba (BR)
- Université du littoral côte d'opale (FR)
- Laboratoire de Mathématiques Blaise Pascal (FR)
Publication Details
- Journal
- Communications in Contemporary Mathematics
- Published
- 2025-11-21
- DOI
- https://doi.org/10.1142/s0219199726500057
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00