Non-uniform dependence for higher dimensional Camassa-Holm equations in Besov spaces

DOI10.1016/j.nonrwa.2021.103420zbMath1502.35146arXiv2003.09623OpenAlexW3199588928MaRDI QIDQ2061585

Min Li, Wei Deng, Jinlu Li

Publication date: 15 December 2021

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09623

zbMATH Keywords

Besov spaceshigher dimensional Camassa-Holm equationsnon-uniform continuous dependence

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (2)

Formation of singularity of solution to a nonlinear shallow water equation ⋮ On the continuity of the solution map of the Euler-Poincaré equations in Besov spaces

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