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Zeitschrift für Analysis und ihre Anwendungen


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Volume 34, Issue 1, 2015, pp. 43–59
DOI: 10.4171/ZAA/1528

Published online: 2015-01-08

Local Well-Posedness of a Coupled Camassa-Holm System in Critical Spaces

Xingxing Liu[1]

(1) China University of Mining and Technology, Xuzhou (Jiangsu), China

In this paper, we consider the local well-posedness of a coupled Camassa-Holm system with initial data in Besov spaces $B^s_{2,1}$ with critical index $s=\frac{3}{2}.$

Keywords: Coupled Camassa-Holm system, Besov spaces, well-posedness, critical index

Liu Xingxing: Local Well-Posedness of a Coupled Camassa-Holm System in Critical Spaces. Z. Anal. Anwend. 34 (2015), 43-59. doi: 10.4171/ZAA/1528