WELL-POSEDNESS AND ANALYTICITY FOR AN INTEGRABLE TWO-COMPONENT SYSTEM WITH CUBIC NONLINEARITY
2013 ◽
Vol 10
(04)
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pp. 703-723
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Keyword(s):
We study the Cauchy problem associated with a new integrable two-component system with cubic nonlinearity, which was recently proposed by Song, Qu and Qiao. We establish the local well-posedness in a range of the Besov spaces. Moreover, for analytic initial data, we show that its solutions are analytic in both variables, globally in space and locally in time, which extend a result by Danchin, and Himonas et al. to more complex equations.
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2012 ◽
Vol 2012
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pp. 1-29
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1992 ◽
Vol 95
(1)
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pp. 33-74
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2019 ◽
Vol 39
(11)
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pp. 6713-6745
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2008 ◽
Vol 340
(2)
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pp. 1326-1335
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Keyword(s):
2008 ◽
Vol 05
(03)
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pp. 547-568
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