most citedWell-posedness and regularity of generalized Navier-Stokes equations in some Critical spaces

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math.AP2009★ 4 cited

Well-posedness and regularity of generalized Navier-Stokes equations in some Critical spaces

Pengtao Li, Zhichun Zhai

We study the well-posedness and regularity of the generalized Navier-Stokes equations with initial data in a new critical space $Q_{α;\infty}^{β,-1}(\mathbb{R}^{n})=\nabla\cdot(Q_α…

math.AP2008★ 2 cited

Hilbert transforms and the Cauchy integral in euclidean space

Andreas Axelsson, Kit Ian Kou, Tao Qian

We generalize the notion of harmonic conjugate functions and Hilbert transforms to higher dimensional euclidean spaces, in the setting of differential forms and the Hodge-Dirac sys…