A note on well-posedness for Camassa–Holm equation

2003/05/19 by Raphaël Danchin · 249 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Besov space #Camassa–Holm equation #Functional analysis #Index (typography) #Integrable system #Interpolation space #Mathematical analysis #Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #Pure mathematics #Sobolev space

paper · doi:10.1016/s0022-0396(03)00096-2

published in Journal of Differential Equations 192(2), 429-444 (Elsevier BV)

openalex publication_date 2003/05/19 · crossref created 2003/05/19 · crossref issued 2003/08/01 · crossref published 2003/08/01 · crossref published-print 2003/08/01 · crossref deposited 2023/04/26 · openalex created_date 2025/10/10 · crossref indexed 2026/08/07 · openalex updated_date 2026/08/08

Citations

• Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
• On the Cauchy problem for the Camassa–Holm equation
• Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation

Cited by

• Singular limit problem of the Camassa–Holm type equation
• A Note on the analytic solutions of the Camassa–Holm equation
• Low-Regularity Solutions of the Periodic Camassa–Holm Equation
• A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation
• A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General H¹ Initial Data
• Global existence of weak solutions to the Camassa-Holm equation
• Existence time for the Camassa-Holm equation and the critical Sobolev index
• Camassa–Holm equation [wikipedia]