Abstract
In this paper, we survey our recent results on the Benjamin-Ono equation on the torus. As an application of the methods developed we construct large families of periodic or quasiperiodic solutions, which are not C-infinity-smooth.
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Gérard, Patrick; Kappeler, Thomas; Topalov, Petar (2022). On the Benjamin-Ono equation on T and its periodic and quasiperiodic solutions. Journal of Spectral Theory, 12(1):169-193.
In this paper, we survey our recent results on the Benjamin-Ono equation on the torus. As an application of the methods developed we construct large families of periodic or quasiperiodic solutions, which are not C-infinity-smooth.
Item Type: | Journal Article, refereed, original work |
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Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
Dewey Decimal Classification: | 510 Mathematics |
Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics Physical Sciences > Geometry and Topology |
Uncontrolled Keywords: | Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics ; Benjamin-Ono equation, periodic solutions, quasiperiodic solutions, action to frequency map ; CONSERVATION-LAWS, WAVE, TRANSFORM, L-2 |
Language: | English |
Date: | 24 March 2022 |
Deposited On: | 04 Aug 2022 16:17 |
Last Modified: | 19 Mar 2025 04:31 |
Publisher: | EMS Press |
ISSN: | 1664-039X |
OA Status: | Gold |
Free access at: | Publisher DOI. An embargo period may apply. |
Publisher DOI: | https://doi.org/10.4171/JST/398 |
Other Identification Number: | MR4404811 |