On the Cauchy problem for the Camassa-Holm equation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 46, Issue 3, 2001, Pages 309-327

  Rodríguez Blanco, Guillermo ^a  

^a IMPA   (Brazil)

Author keywords

Camassa Holm equation; Kato's theory; Local and global well posedness

Indexed keywords

LINEAR ALGEBRA; MATHEMATICAL OPERATORS; NUMERICAL ANALYSIS; PROBLEM SOLVING; THEOREM PROVING;

CAMASSA-HOLM EQUATIONS; CAUCHY PROBLEMS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0035479874     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00791-X     Document Type: Article

References (16)

1. An integrable shallow water equation with peaked solitons
2. On the Cauchy problem for the periodic Camassa-Holm equation
3. The Hamiltonian structure of the Camassa-Holm equation
4. Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
5. Global weak solutions for a shallow water equation
6. On the cauchy problem for the Benjamin-Ono equation
7. Introdução às Equações de Evolução não Lineares
8. Quasi-linear equations of evolution, with applications to partial differential equations
9. On the Korteweg-de-Vries equation
10. On the Cauchy problem for the (generalized) Korteweg-de Vries equation
11. Abstract evolution equations, linear and quasilinear, revisited
12. Commutator estimates and the Euler and Navier-Stokes equations
13. Zero curvature formulations of dual hierarchies
14. Partial differential equations III. Nonlinear equations