A Liouville theorem for the Degasperis-Procesi equation

DOI10.2422/2036-2145.201410_014zbMath1358.35088arXiv1405.6675OpenAlexW2265721888MaRDI QIDQ2957548

Lorenzo Brandolese

Publication date: 26 January 2017

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6675

zbMATH Keywords

Degasperis-Procesi equationLiouville-type theorem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Navier-Stokes equations (35Q30) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (7)

Liouville theorems for periodic two-component shallow water systems ⋮ New wave-breaking criteria for the Fornberg-Whitham equation ⋮ On unique continuation for non-local dispersive models ⋮ Breaking and permanent waves for the periodic \(\mu\)-Degasperis-Procesi equation with linear dispersion ⋮ Unique continuation properties for solutions to the Camassa-Holm equation and related models ⋮ Blow-up phenomena for the periodic two-component Degasperis-Procesi system ⋮ A view of the peakon world through the lens of approximation theory

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