Analysis on continuity of the solution map for the Whitham equation in Besov spaces

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for linear first-order PDEs (35F10) Integro-partial differential equations (35R09)

Cites Work

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Non-uniform dependence on initial data for the CH equation on the line.
Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces
Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics
The Cauchy problem for quasi-linear symmetric hyperbolic systems
A note on well-posedness for Camassa-Holm equation.
On well-posedness for some dispersive perturbations of Burgers' equation
Wave breaking in the Whitham equation
Enhanced existence time of solutions to evolution equations of Whitham type
Non-uniform dependence on initial data for equations of Whitham type
Non-uniform dependence for Euler equations in Besov spaces
On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation
On unconditional well-posedness for the periodic modified Korteweg-de Vries equation
A note on the Cauchy problem of the Novikov equation
Fourier Analysis and Nonlinear Partial Differential Equations
A Note on the Local Well-Posedness for the Whitham Equation
Non-Uniform Dependence for the Periodic CH Equation
A direct construction of a full family of Whitham solitary waves
The Wave Breaking for Whitham-Type Equations Revisited
Rigorous derivation of the Whitham equations from the water waves equations in the shallow water regime
Enhanced Existence Time of Solutions to the Fractional Korteweg--de Vries Equation
Variational methods and applications to water waves
One-sided Hölder regularity of global weak solutions of negative order dispersive equations

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