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On the well-posedness of the Boussinesq equation in the Triebel-Lizorkin-Lorentz spaces - MaRDI portal

On the well-posedness of the Boussinesq equation in the Triebel-Lizorkin-Lorentz spaces (Q437581)

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scientific article; zbMATH DE number 6058131
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English
On the well-posedness of the Boussinesq equation in the Triebel-Lizorkin-Lorentz spaces
scientific article; zbMATH DE number 6058131

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    On the well-posedness of the Boussinesq equation in the Triebel-Lizorkin-Lorentz spaces (English)
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    18 July 2012
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    Summary: 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.
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