Orbital stability of KdV multisolitons in H-1
Killip R, Vişan M. 2022. Orbital stability of KdV multisolitons in H-1. Communications in Mathematical Physics. 389(3), 1445–1473.
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Author
Killip, Rowan;
Vişan, MonicaISTA
Abstract
We prove that multisoliton solutions of the Korteweg–de Vries equation are orbitally stable in H^-1(R). We introduce a variational characterization of multisolitons that remains meaningful at such low regularity and show that all optimizing sequences converge to the manifold of multisolitons. The proximity required at the initial time is uniform across the entire manifold of multisolitons; this had not been demonstrated previously, even in H^-1.
Publishing Year
Date Published
2022-02-01
Journal Title
Communications in Mathematical Physics
Publisher
Springer Nature
Volume
389
Issue
3
Page
1445-1473
ISSN
eISSN
IST-REx-ID
Cite this
Killip R, Vişan M. Orbital stability of KdV multisolitons in H-1. Communications in Mathematical Physics. 2022;389(3):1445-1473. doi:10.1007/s00220-021-04280-y
Killip, R., & Vişan, M. (2022). Orbital stability of KdV multisolitons in H-1. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-021-04280-y
Killip, Rowan, and Monica Vişan. “Orbital Stability of KdV Multisolitons in H-1.” Communications in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s00220-021-04280-y.
R. Killip and M. Vişan, “Orbital stability of KdV multisolitons in H-1,” Communications in Mathematical Physics, vol. 389, no. 3. Springer Nature, pp. 1445–1473, 2022.
Killip R, Vişan M. 2022. Orbital stability of KdV multisolitons in H-1. Communications in Mathematical Physics. 389(3), 1445–1473.
Killip, Rowan, and Monica Vişan. “Orbital Stability of KdV Multisolitons in H-1.” Communications in Mathematical Physics, vol. 389, no. 3, Springer Nature, 2022, pp. 1445–73, doi:10.1007/s00220-021-04280-y.
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