Blow-up phenomena and local well-posedness for a generalized Camassa-Holm equation in the critical Besov space

DOI10.1016/j.na.2015.07.017zbMath1328.35204arXiv1505.00086OpenAlexW2200519252MaRDI QIDQ5899488

Xi Tu, Zhaoyang Yin

Publication date: 2 November 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00086

zbMATH Keywords

blow-uplocal well-posednesscritical Besov spacegeneralized Camassa-Holm equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Maximal functions, Littlewood-Paley theory (42B25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)

Related Items (5)

Well-posedness and behaviors of solutions to an integrable evolution equation ⋮ Nonuniform dependence and well-posedness for the generalized Camassa–Holm equation ⋮ The Cauchy problem for a generalized Novikov equation ⋮ The rotational speed limit and the blow-up phenomena of the rotation 2-component Camassa-Holm system ⋮ Lower order regularity for the generalized Camassa–Holm equation

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