Classical solutions of the periodic Camassa—Holm equation

2002/11/01 by Gerard Misiołek, G. Misiolek · 116 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Algebra over a field #Banach space #Camassa–Holm equation #Commutator #Curvature #Diffeomorphism #Differentiable function #Integrable system #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pure mathematics #Sobolev space

paper · doi:10.1007/pl00012648

published in Geometric and Functional Analysis 12(5), 1080-1104 (Springer Science and Business Media LLC)

crossref issued 2002/11/01 · crossref published 2002/11/01 · crossref published-print 2002/11/01 · openalex publication_date 2002/11/01 · crossref created 2006/04/10 · crossref deposited 2019/05/23 · openalex created_date 2025/10/10 · crossref indexed 2026/06/17 · openalex updated_date 2026/07/29

Citations

• Tools for PDE
• Fredholm determinants and the Camassa‐Holm hierarchy
• On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
• Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
• The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
• A Nonlinear Analysis of the Averaged Euler Equations
• Multipeakons and the Classical Moment Problem

Cited by

• Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation
• Euler equations on homogeneous spaces and Virasoro orbits
• A Note on the analytic solutions of the Camassa–Holm equation
• Low-Regularity Solutions of the Periodic Camassa–Holm Equation
• Convergence of a Finite Difference Scheme for the Camassa–Holm Equation
• Existence time for the Camassa-Holm equation and the critical Sobolev index
• Periodic conservative solutions of the Camassa–Holm equation
• Camassa–Holm equation [wikipedia]