Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 261, Issue 11, Pages 6125-6143Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2016.08.031
Keywords
Camassa-Holm type equations; Littlewood-Paley theory; The continuity of the solution map; Nonhomogeneous Besov spaces
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Funding
- NNSFC [11671407, 11271382]
- FDCT [098/2013/A3]
- Guangdong Special Support Program [8-2015]
- NSF of Guangdong Province [2016A030311004]
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In this paper, we prove the solution map of the Cauchy problem of Camassa-Holm type equations depends continuously on the initial data in nonhomogeneous Besov spaces in the sense of Hadamard by using the Littlewood-Paley theory and the method introduced by Kato [37] and Danchin [21]. (C) 2016 Elsevier Inc. All rights reserved.
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