Sharp ill-posedness for the Hunter–Saxton equation on the line
From MaRDI portal
Publication:6489337
DOI10.1007/S00028-024-00962-XMaRDI QIDQ6489337
Zhaoyang Yin, Yingying Guo, Weikui Ye
Publication date: 21 April 2024
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Ill-posed problems for PDEs (35R25) Second-order nonlinear hyperbolic equations (35L70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces
- Global conservative solutions of the Camassa-Holm equation
- Periodic conservative solutions of the Camassa-Holm equation
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation
- On a completely integrable nonlinear hyperbolic variational equation
- The Hamiltonian structure of the Camassa-Holm equation
- A note on well-posedness for Camassa-Holm equation.
- Global weak solutions for a shallow water equation
- Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data
- Ill-posedness of the Camassa-Holm and related equations in the critical space
- On a nonlinear hyperbolic variational equation: I. Global existence of weak solutions. II: The zero-viscosity and dispersion limits
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Global existence and blow-up phenomena for the Hunter-Saxton equation on the line
- On the weak solutions to a shallow water equation
- Fourier Analysis and Nonlinear Partial Differential Equations
- Inverse scattering solutions of the hunter-saxton equation
- Inverse scattering transform for the Camassa–Holm equation
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
- Convergent difference schemes for the Hunter–Saxton equation
- Dynamics of Director Fields
- Global weak solutions for a shallow water equation
- A shallow water equation on the circle
- An integrable shallow water equation with peaked solitons
- On the Structure of Solutions to the Periodic Hunter--Saxton Equation
- Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
- Global Solutions of the Hunter--Saxton Equation
This page was built for publication: Sharp ill-posedness for the Hunter–Saxton equation on the line