Zhichun Zhai

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All published works

Action	Title	Year	Authors
+	Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional <i>p</i>-Laplace and the fractional <i>p</i>-convexity	2023	Shaoguang Shi Zhichun Zhai Lei Zhang
+ PDF Chat	Embeddings of function spaces via the Caffarelli–Silvestre extension, capacities and Wolff potentials	2022	Pengtao Li Shaoguang Shi Rui Hu Zhichun Zhai
+ PDF Chat	Application of Capacities to Space-Time Fractional Dissipative Equations II: Carleson Measure Characterization for Lq(ℝ+n+1,μ) L^q (\mathbb{R}_ + ^{n + 1} ,\mu ) −Extension	2022	Pengtao Li Zhichun Zhai
+	Problems related to Waring-Goldbach problem involving cubes of primes	2022	Zhichun Zhai
+	Fractional Besov Trace/Extension Type Inequalities via the Caffarelli-Silvestre extension	2022	Pengtao Li Rui Hu Zhichun Zhai
+	Strengthened Fractional Sobolev Type Inequalities in Besov Spaces	2022	Pengtao Li Rui Hu Zhichun Zhai
+	Robust Optimal Designs when Missing Data Happen at Random	2020	Rui Hu Ion Bica Zhichun Zhai
+	Embeddings of Function Spaces via the Caffarelli-Silvestre Extension, Capacities and Wolff potentials	2020	Pengtao Li Shaoguang Shi Rui Hu Zhichun Zhai
+	Topological Data Analysis of Clostridioides difficile Infection and Fecal Microbiota Transplantation	2017	Pavel Petrov Stephen Rush Zhichun Zhai Christine H. Lee Peter T. Kim Giseon Heo
+	Robust Model-Based Stratified Sampling Designs.	2014	Zhichun Zhai Douglas P. Wiens
+	Note on Solution Regularity of the Generalized Magnetohydrodynamic Equations with Partial Dissipation	2013	Chuong V. Tran Xinwei Yu Zhichun Zhai
+	On Global Regularity of 2D Generalized Magnetohydrodynamic Equations	2013	Chuong V. Tran Xinwei Yu Zhichun Zhai
+	Note on Solution Regularity of the Generalized Magnetohydrodynamic Equations with Partial Dissipation	2013	Chuong V. Tran Xinwei Yu Zhichun Zhai
+	On Global Regularity of 2D Generalized Magnetohydrodynamic Equations	2013	Chuong V. Tran Xinwei Yu Zhichun Zhai
+	RIESZ TRANSFORMS ON $Q$-TYPE SPACES WITH APPLICATION TO QUASI-GEOSTROPHIC EQUATION	2012	Pengtao Li Zhichun Zhai
+	Regularity and Capacity for the Fractional Dissipative Operator	2012	Renjin Jiang Jie Xiao Dachun Yang Zhichun Zhai
+	SEVERAL ANALYTIC INEQUALITIES IN SOME Q−SPACES	2011	Pengtao Li Zhichun Zhai
+	Well-posedness for fractional Navier-Stokes equations in critical spaces close to $\dot{B}^{-(2\beta-1)}_{\infty,\infty}(\mathbb{R}^{n})$	2009	Zhichun Zhai
+	Gagliardo-Nirenberg type inequalities in some $Q-$spaces	2009	Pengtao Li Zhichun Zhai
+	Carleson measure problems for parabolic Bergman spaces and homogeneous Sobolev spaces	2009	Zhichun Zhai
+	Some regularity estimates for mild solutions to fractional heat-type and Navier-Stokes equations	2009	Zhichun Zhai
+	Generalized Naiver-Stokes equations with initial data in local $Q$-type spaces	2009	Pengtao Li Zhichun Zhai
+	Well-posedness and regularity of generalized Navier-Stokes equations in some Critical $Q-$spaces	2009	Pengtao Li Zhichun Zhai
+	Strichartz type estimates for fractional heat equations	2009	Zhichun Zhai
+	Note on affine Gagliardo-Nirenberg inequalities	2009	Zhichun Zhai
+	Several analytic inequalities in some $Q-$spaces	2009	Pengtao Li Zhichun Zhai
+	An Existent Condition of Error Bounds for Abstract Linear Inequality System	2008	Zhichun Zhai

Common Coauthors

Coauthor	Papers Together
Pengtao Li	11
Chuong V. Tran	4
Shaoguang Shi	3
Rui Hu	3
Xinwei Yu	2
Rui Hu	2
Xinwei Yu	2
Douglas P. Wiens	1
Giseon Heo	1
Dachun Yang	1
Lei Zhang	1
Jie Xiao	1
Stephen Rush	1
Peter T. Kim	1
Ion Bica	1
Pavel Petrov	1
Renjin Jiang	1
Christine H. Lee	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Some new tent spaces and duality theorems for fractional Carleson measures and Qα(Rn)	2003	Galia Dafni Jie Xiao	6
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	5
+	Quelques méthodes de résolution des problèmes aux limites non linéaires	1969	Jacques Louis Lions	4
+	Function Spaces and Potential Theory	1996	David R. Adams Lars Inge Hedberg	4
+ PDF Chat	The generalized incompressible Navier-Stokes equations in Besov spaces	2004	Jiahong Wu	4
+ PDF Chat	Homothetic variant of fractional Sobolev space with application to Navier–Stokes system	2007	Jie Xiao	4
+ PDF Chat	Well-posedness of the Cauchy problem for the fractional power dissipative equations	2006	Changxing Miao Baoquan Yuan Bo Zhang	3
+	Strong type estimates for homogeneous Besov capacities	2003	David R. Adams Jie Xiao	3
+	Trace Inequalities of Sobolev Type in the Upper Triangle Case	2000	Carme Cascante Joaquı́n M. Ortega Igor E. Verbitsky	3
+ PDF Chat	A tracing of the fractional temperature field	2017	Shaoguang Shi Jie Xiao	3
+ PDF Chat	A generalization of a theorem by Kato on Navier-Stokes equations	1997	Marco Cannone	3
+	Well-posedness for the Navier–Stokes Equations	2001	Herbert Koch Daniel Tataru	3
+	A new class of function spaces connecting Triebel–Lizorkin spaces and Q spaces	2008	Dachun Yang Wen Yuan	3
+ PDF Chat	Homogeneous endpoint Besov space embeddings by Hausdorff capacity and heat equation	2006	Jie Xiao	3
+	Harmonic Analysis Tools for Solving the Incompressible Navier–Stokes Equations	2005	Marco Cannone	3
+	Lower Bounds for an Integral Involving Fractional Laplacians and the Generalized Navier-Stokes Equations in Besov Spaces	2005	Jiahong Wu	3
+	Regularity Criteria for the Generalized MHD Equations	2008	Jiahong Wu	3
+	Navier-stokes flow in r<sup>3</sup>with measures as initial vorticity and morrey spaces	1989	Yoshikazu Giga Tetsuro Miyakawa	2
+	Classical and modern Fourier analysis	2003	Loukas Grafakos	2
+	Generalized MHD equations	2003	Jiahong Wu	2
+	Global regularity for a logarithmically supercritical hyperdissipative Navier–Stokes equation	2009	Terence Tao	2
+ PDF Chat	Littlewood-Paley Theory and the Study of Function Spaces	1991	Michael Frazier Björn Jawerth Guido Weiss	2
+ PDF Chat	BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity	2009	Zhen Lei Yi Zhou	2
+ PDF Chat	The classification problem for the capacities associated with the Besov and Triebel-Lizorkin spaces	1989	David R. Adams	2
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	2
+ PDF Chat	Choquet integrals in potential theory	1998	David R. Adams	2
+ PDF Chat	Latin Hypercubes and Space-Filling Designs	2015	C. Devon Lin Boxin Tang	2
+	Carleson embeddings for Sobolev spaces via heat equation	2005	Jie Xiao	2
+	$L^q$-Extensions of $L^p$-spaces by fractional diffusion equations	2014	Der–Chen Chang Jie Xiao	2
+ PDF Chat	Optimal geometric estimates for fractional Sobolev capacities	2015	Jie Xiao	2
+	Strichartz type estimates for fractional heat equations	2009	Zhichun Zhai	2
+	Global Regularity for a Class of Generalized Magnetohydrodynamic Equations	2010	Jiahong Wu	2
+	Behavior of Solutions of 2D Quasi-Geostrophic Equations	1999	Peter Constantin Jiahong Wu	2
+	Well-posedness and regularity of generalized Navier–Stokes equations in some critical Q-spaces	2010	Pengtao Li Zhichun Zhai	2
+ PDF Chat	Regularity criteria for the generalized viscous MHD equations	2006	Yong Zhou	2
+	Interpolations by Bounded Analytic Functions and the Corona Problem	1962	Lennart Carleson	2
+	Theory of Function Spaces III	2006	Hans Triebel	2
+	Limiting Case of the Sobolev Inequality in BMO,¶with Application to the Euler Equations	2000	Hideo Kozono Yasushi Taniuchi	2
+ PDF Chat	On the existence of capacitary strong type estimates in Rn	1976	David R. Adams	2
+ PDF Chat	Carleson measure problems for parabolic Bergman spaces and homogeneous Sobolev spaces	2010	Zhichun Zhai	2
+	Robust static designs for approximately specified nonlinear regression models	2012	Jamil Hasan Karami Douglas P. Wiens	1
+	Global well-posedness for semi-linear wave equations	2000	Carlos E. Kenig Gustavo Ponce Luis Vega	1
+	Sharp Gagliardo–Nirenberg Inequalities and Mass Transport Theory	2006	Martial Agueh	1
+ PDF Chat	Newton’s Method with a Model Trust Region Modification	1982	D. C. Sorensen	1
+	Theory of function spaces	1983	Hans Triebel	1
+	A Maximum Principle Applied to Quasi-Geostrophic Equations	2004	Antonio Cordóba Diego Córdoba	1
+	Minimizing a Quadratic Over a Sphere	2001	William W. Hager	1
+	On the 2D critical and supercritical dissipative quasi-geostrophic equation in Besov spaces	2010	Hongjie Dong Dong Li	1
+	Global regularity for generalized anisotropic Navier–Stokes equations	2010	Ting Zhang	1
+ PDF Chat	Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation	2010	Luis Caffarelli Alexis Vasseur	1