Low regularity stability of solitons for the KdV equation

DOI10.3934/CPAA.2003.2.277zbMath1054.35084OpenAlexW2007933289MaRDI QIDQ1424062

D. Massart

Publication date: 8 March 2004

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2003.2.277

zbMATH Keywords

solitonorbital instabilitylong-time stability

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)

Related Items (3)

Polynomial-in-time upper bounds for the orbital instability of subcritical generalized Korteweg-de Vries equations ⋮ Asymptotic stability for KdV solitons in weighted spaces via iteration ⋮ Long-term stability for KdV solitons in weighted \(H^s\) spaces

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