A priori bounds and equicontinuity of orbits for the intermediate long wave equation
Harrop-Griffiths B, Killip R, Vişan M. 2026. A priori bounds and equicontinuity of orbits for the intermediate long wave equation. Journal of Evolution Equations. 26(3), 81.
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Author
Harrop-Griffiths, B.;
Killip, R.;
Vişan, MonicaISTA
Abstract
We prove uniform-in-time a priori Hs bounds for solutions to the intermediate longwave equation
posed both on the line and on the circle, covering the range −1
2 < s ≤ 0. Additionally, we prove that the
set of orbits emanating from a bounded and equicontinuous set in Hs is also bounded and equicontinuous
in Hs . Our proof is based on the identification of a suitable Lax pair formulation for the intermediate long
wave equation.
Publishing Year
Date Published
2026-06-08
Journal Title
Journal of Evolution Equations
Publisher
Springer Nature
Volume
26
Issue
3
Article Number
81
ISSN
eISSN
IST-REx-ID
Cite this
Harrop-Griffiths B, Killip R, Vişan M. A priori bounds and equicontinuity of orbits for the intermediate long wave equation. Journal of Evolution Equations. 2026;26(3). doi:10.1007/s00028-026-01228-4
Harrop-Griffiths, B., Killip, R., & Vişan, M. (2026). A priori bounds and equicontinuity of orbits for the intermediate long wave equation. Journal of Evolution Equations. Springer Nature. https://doi.org/10.1007/s00028-026-01228-4
Harrop-Griffiths, B., R. Killip, and Monica Vişan. “A Priori Bounds and Equicontinuity of Orbits for the Intermediate Long Wave Equation.” Journal of Evolution Equations. Springer Nature, 2026. https://doi.org/10.1007/s00028-026-01228-4.
B. Harrop-Griffiths, R. Killip, and M. Vişan, “A priori bounds and equicontinuity of orbits for the intermediate long wave equation,” Journal of Evolution Equations, vol. 26, no. 3. Springer Nature, 2026.
Harrop-Griffiths B, Killip R, Vişan M. 2026. A priori bounds and equicontinuity of orbits for the intermediate long wave equation. Journal of Evolution Equations. 26(3), 81.
Harrop-Griffiths, B., et al. “A Priori Bounds and Equicontinuity of Orbits for the Intermediate Long Wave Equation.” Journal of Evolution Equations, vol. 26, no. 3, 81, Springer Nature, 2026, doi:10.1007/s00028-026-01228-4.
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