Non-uniform dependence of the data-to-solution map for the Hunter-Saxton equation in Besov spaces
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Publication:1991707
DOI10.1007/s00028-018-0436-4zbMath1403.35039OpenAlexW2792153617WikidataQ130150648 ScholiaQ130150648MaRDI QIDQ1991707
Publication date: 30 October 2018
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00028-018-0436-4
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items (7)
Non-uniform dependence on initial data for the Benjamin-Ono equation ⋮ Non-uniform dependence of the data-to-solution map for the two-component Fornberg-Whitham system ⋮ Nonuniform dependence of the R‐b‐family system in Besov spaces ⋮ Nonuniform dependence on initial data for the 2D viscous shallow water equations ⋮ Non-uniform dependence for Euler equations in Besov spaces ⋮ The periodic Cauchy problem for a two-component non-isospectral cubic Camassa-Holm system ⋮ A note on the solution map for the periodic multi-dimensional Camassa-Holm-type system
Cites Work
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- Dynamics of Director Fields
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Hölder continuity of the solution map for the Novikov equation
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