On the Cauchy problem for the Camassa–Holm equation

2001/10/01 by Guillermo Rodrı́guez-Blanco · 302 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Boundary (topology) #Camassa–Holm equation #Cauchy distribution #Computer science #Geometry #Geometry and complex manifolds #Gravitational singularity #Integrable system #Mathematical analysis #Mathematics #Metric (unit) #Nonlinear Waves and Solitons #Pure mathematics #Space (punctuation) #Surface (topology)

paper · doi:10.1016/s0362-546x(01)00791-x

published in Nonlinear Analysis: Theory, Methods & Applications 46(3), 309-327 (Elsevier BV)

crossref issued 2001/10/01 · crossref published 2001/10/01 · crossref published-print 2001/10/01 · openalex publication_date 2001/10/01 · crossref created 2002/07/25 · crossref deposited 2020/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05 · crossref indexed 2026/08/05

Citations

• Global Weak Solutions for a Shallow Water Equation
• Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
• Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation

Cited by

• A note on well-posedness for Camassa–Holm equation
• Multi-symplectic integration of the Camassa–Holm equation
• Singular limit problem of the Camassa–Holm type equation
• A Note on the analytic solutions of the Camassa–Holm equation
• Infinite propagation speed of the Camassa–Holm equation
• Initial Boundary Value Problems of the Camassa–Holm Equation
• Blow-up, blow-up rate and decay of the solution of the weakly dissipative 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
• Convergence of a Finite Difference Scheme for the Camassa–Holm Equation
• A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General H¹ Initial Data
• Existence time for the Camassa-Holm equation and the critical Sobolev index
• A Variational Approach to the Stability of Periodic Peakons
• A convergent numerical scheme for the Camassa--Holm equation based on multipeakons
• Periodic conservative solutions of the Camassa–Holm equation
• Stability for the periodic Camassa-Holm equation
• Camassa–Holm equation [wikipedia]