4 citations · 9 across the 5 of their papers we have counts for
5 papers
Note on affine Gagliardo-Nirenberg inequalities
Zhichun Zhai
This note proves sharp affine Gagliardo-Nirenberg inequalities which are stronger than all known sharp Euclidean Gagliardo-Nirenberg inequalities and imply the affine Sobol…
Carleson measure problems for parabolic Bergman spaces and homogeneous Sobolev spaces
Zhichun Zhai
Let be the space of solutions to the parabolic equation having finite …
Generalized Naiver-Stokes equations with initial data in local -type spaces
Pengtao Li, Zhichun Zhai
In this paper, we establish a link between Leray mollified solutions of the three-dimensional generalized Naiver-Stokes equations and mild solutions for initial data in the adheren…
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…
Strichartz type estimates for fractional heat equations
Zhichun Zhai
We obtain Strichartz estimates for the fractional heat equations by using both the abstract Strichartz estimates of Keel-Tao and the Hardy-Littlewood-Sobolev inequality. We also pr…