On the Well-Posedness of the Boussinesq Equation in the Triebel-Lizorkin-Lorentz Spaces

Zhaoyin Xiang and Wei Yan

Abstract and Applied Analysis, 2012, vol. 2012, 1-17

Abstract:

We establish the local well-posedness and obtain a blow-up criterion of smooth solutions for the Boussinesq equations in the framework of Triebel-Lizorkin-Lorentz spaces. The main ingredients of our proofs are Littlewood-Paley decomposition and the paradifferential calculus.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:573087

DOI: 10.1155/2012/573087

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