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The Cauchy problem for fractional Camassa-Holm equation in Besov space - MaRDI portal

The Cauchy problem for fractional Camassa-Holm equation in Besov space (Q2066575)

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scientific article; zbMATH DE number 7457500
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The Cauchy problem for fractional Camassa-Holm equation in Besov space
scientific article; zbMATH DE number 7457500

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    The Cauchy problem for fractional Camassa-Holm equation in Besov space (English)
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    14 January 2022
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    In this paper Cauchy problem for fractional Camassa-Holm equation is studied. The local well-posedness in Besov space is proved for this problem. The analyticity of the Cauchy problem is investigated based on a contraction type argument in a suitably chosen scale of the Banach spaces. The establishment of conservation law and a blow-up criterion are presented as well.
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    Besov spaces
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    fractional Camassa-Holm equation
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    local well-posedness
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    blow-up criterion
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