Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation

2007/02/07 by A. Alexandrou Himonas, Gerard Misiołek, Gustavo Ponce +1 · 210 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Camassa–Holm equation #Cauchy problem #Continuation #Exponential growth #Initial value problem #Integrable system #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Persistence (discontinuity) #Zero (linguistics)

paper · doi:10.1007/s00220-006-0172-4

published in Communications in Mathematical Physics 271(2), 511-522 (Springer Science and Business Media LLC)

openalex publication_date 2007/02/07 · crossref created 2007/02/07 · crossref issued 2007/02/08 · crossref published 2007/02/08 · crossref published-online 2007/02/08 · crossref published-print 2007/02/27 · crossref deposited 2019/05/24 · openalex created_date 2025/10/10 · crossref indexed 2026/08/07 · openalex updated_date 2026/08/08

Citations

• Classical solutions of the periodic Camassa—Holm equation
• Breakdown of the Camassa‐Holm equation
• Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
• Multipeakons and the Classical Moment Problem
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation

Cited by

• Camassa–Holm equation [wikipedia]