Open Access
2012 On the Well-Posedness of the Boussinesq Equation in the Triebel-Lizorkin-Lorentz Spaces
Zhaoyin Xiang, Wei Yan
Abstr. Appl. Anal. 2012: 1-17 (2012). DOI: 10.1155/2012/573087

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.

Citation

Download Citation

Zhaoyin Xiang. Wei Yan. "On the Well-Posedness of the Boussinesq Equation in the Triebel-Lizorkin-Lorentz Spaces." Abstr. Appl. Anal. 2012 1 - 17, 2012. https://doi.org/10.1155/2012/573087

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1246.35165
MathSciNet: MR2926890
Digital Object Identifier: 10.1155/2012/573087

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
Back to Top