Nonuniform dependence for the two-component Camassa-Holm-type system with higher-order nonlinearity in Besov spaces
DOI10.1216/rmj.2022.52.1801zbMath1505.35029OpenAlexW4385640456MaRDI QIDQ2106275
Publication date: 14 December 2022
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-5/Nonuniform-dependence-for-the-two-component-CamassaHolm-type-system-with/10.1216/rmj.2022.52.1801.full
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
Cites Work
- Unnamed Item
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- Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces
- The Cauchy problem for the integrable Novikov equation
- On the Cauchy problem for the two-component Camassa-Holm system
- Well-posedness and persistence properties for the Novikov equation
- Non-uniform dependence on initial data for the CH equation on the line.
- On an integrable two-component Camassa-Holm shallow water system
- Double extended cubic peakon equation
- On the Cauchy problem for a two-component b-family system
- On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- A note on well-posedness for Camassa-Holm equation.
- Special issue on the occasion of the 50th volume
- A few remarks on the Camassa-Holm equation.
- 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
- Non-uniform dependence for Euler equations in Besov spaces
- Persistence properties and asymptotic behavior for a two-component \(b\)-family system with high order nonlinearity
- On the Cauchy problem for a two-component \(b\)-family system with high order nonlinearity
- On well-posedness of two-component Camassa-Holm system in the critical Besov space
- Local well-posedness and blow-up criteria for a two-component Novikov system in the critical Besov space
- Well-posedness and analytic solutions of the two-component Euler-Poincaré system
- A two-component generalization of the Camassa-Holm equation and its solutions
- The periodic Cauchy problem for the 2-component Camassa-Holm system.
- A note on the solution map for the periodic Camassa–Holm equation
- Non-uniform dependence on initial data for the two-component Novikov system
- Fourier Analysis and Nonlinear Partial Differential Equations
- Integrable peakon equations with cubic nonlinearity
- Non-Uniform Dependence for the Periodic CH Equation
- Generalizations of the Camassa–Holm equation
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- A note on the Cauchy problem for the periodic two-component Novikov system
- Persistence properties for the two-component Novikov equation in weighted Lp spaces
- Hölder continuity of the solution map for the Novikov equation
- The Cauchy problem for the Novikov equation
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