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- W2954892020 abstract "We solve Cauchy problems for some $mu$-Camassa-Holm integro-partial differential equations in the analytic category. The equations to be considered are $mu$CH of Khesin-Lenells-Misiol{}ek, $mu$DP of Lenells-Misiol{}ek-Tiu{g}lay, the higher-order $mu$CH of Wang-Li-Qiao and the non-quasilinear version of Qu-Fu-Liu. We prove the unique local solvability of the Cauchy problems and provide an estimate of the lifespan of the solutions. Moreover, we show the existence of a unique global-in-time analytic solution for $mu$CH, $mu$DP and the higher-order $mu$CH. The present work is the first result of such a global nature for these equations. AMS subject classification: 35R09, 35A01, 35A10, 35G25" @default.
- W2954892020 created "2019-07-12" @default.
- W2954892020 creator A5002728202 @default.
- W2954892020 date "2019-06-26" @default.
- W2954892020 modified "2023-09-27" @default.
- W2954892020 title "Local and global analyticity for $mu$-Camassa-Holm equations" @default.
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- W2954892020 doi "https://doi.org/10.48550/arxiv.1906.11411" @default.
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