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Well-posedness of the two-component Fornberg-Whitham system in Besov spaces

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arxiv 2308.10072 v2 pith:Q2HQFE3J submitted 2023-08-19 math.AP

Well-posedness of the two-component Fornberg-Whitham system in Besov spaces

classification math.AP
keywords besovspacesfornberg-whithamsystemtwo-componentwell-posednessbelongcontinuous
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The present paper establishes well-posedness for the two-component Fornberg-Whitham system in Besov spaces. First the existence and uniqueness of its solution is proved, then it is shown that the corresponding data-to-solution map is continuous, provided the initial data belong to Besov spaces.

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