Large time behavior and convergence for the Camassa-Holm equations with fractional Laplacian viscosity

DOI10.1007/s00526-018-1421-zzbMath1400.35028arXiv1805.05192OpenAlexW2962918221MaRDI QIDQ1990941

Yong He, Linghui Meng, Zai-Hui Gan

Publication date: 26 October 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05192

zbMATH Keywords

Fourier splitting methodfractional Gagliardo-Nirenberg-Sobolev type estimatesfractional heat kernelsfractional Leibniz chain rule

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for nonlinear higher-order PDEs (35G25) Fractional partial differential equations (35R11)

Related Items (2)

The Cauchy problem for generalized fractional Camassa-Holm equation in Besov space ⋮ The Cauchy problem for fractional Camassa-Holm equation in Besov space

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