Chao-Jiang Xu

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All published works

Action	Title	Year	Authors
+	Local fractional Ostrowski type inequalities for generalized s-φ-convex functions on fractal sets	2025	Yanrong An Muhammad Aamir Ali Chao-Jiang Xu Wei Liu Fangfang Shi
+	Global Tangentially Analytical Solutions of the 3D Axially Symmetric Prandtl Equations	2024	Xinghong Pan Chao-Jiang Xu
+ PDF Chat	Analytic smoothing effect of the Cauchy problem for a class of ultra-parabolic equations	2024	Xiao-Dong Cao Chao-Jiang Xu
+	Sharp regularization effect for the non-cutoff Boltzmann equation with hard potentials	2024	Junling Chen Wei‐Xi Li Chao-Jiang Xu
+	Global Gevrey-2 solutions of the 3D axially symmetric Prandtl equations	2024	Xinghong Pan Chao-Jiang Xu
+	The Analytic Gelfand-Shilov Smoothing Effect of the Landau Equation with Hard Potential Chao-Jiang Xu and Yan Xu	2024	Chao-Jiang Xu Xu Yan
+ PDF Chat	Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations	2024	Xinghong Pan Chao-Jiang Xu
+	The analytic smoothing effect of linear Landau equation with soft potentials	2023	Haoguang Li Chao-Jiang Xu
+ PDF Chat	Analytic Gelfand-Shilov smoothing effect of the spatially homogeneous Landau equation with hard potentials	2023	Hao‐Guang Li Chao-Jiang Xu
+ PDF Chat	Analytic smoothing effect of the spatially inhomogeneous Landau equations for hard potentials	2023	Hongmei Cao Wei‐Xi Li Chao-Jiang Xu
+ PDF Chat	Regularity of the spatially homogenous fractional Kramers-Fokker-Planck equation	2023	Chao-Jiang Xu Yan Xu
+	Gelfand–Shilov smoothing effect of the spatially homogeneous Landau equation with moderately soft potential	2023	Hao‐Guang Li Chao-Jiang Xu
+	Sharp regularization effect for the non-cutoff Boltzmann equation with hard potentials	2023	Junling Chen Wei‐Xi Li Chao-Jiang Xu
+	Analytic Gelfand-Shilov smoothing effect of fractional Kramers-Fokker-Planck equation	2023	Chao-Jiang Xu Yan Xu
+	Analytic smoothing effect of Cauchy problem for a class of Kolmogorov-Fokker-Planck equations	2023	Xiao-Dong Cao Chao-Jiang Xu Xu Yan
+	The analytic Gelfand-Shilov smoothing effect of the Landau equation with hard potential	2023	Chao-Jiang Xu Xu Yan
+	Global tangentially analytical solutions of the 3D axially symmetric Prandtl equations	2022	Xinghong Pan Chao-Jiang Xu
+	Analytic smoothing effect of the spatially inhomogeneous Landau equations for hard potentials	2022	Hongmei Cao Wei‐Xi Li Chao-Jiang Xu
+	Analytic smoothing effect of linear landau equation with soft potential	2022	Hao‐Guang Li Chao-Jiang Xu
+	Analytic Gelfand-Shilov smoothing effect of the spatially homogeneous Landau equation	2022	Hao‐Guang Li Chao-Jiang Xu
+	Analytic smoothing effect of the time variable for the spatially homogeneous Landau equation	2022	Chao-Jiang Xu Yan Xu
+	A remark about time-analyticity of the linear Landau equation with soft potential	2022	Chao-Jiang Xu Yan Xu
+	Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations	2022	Xinghong Pan Chao-Jiang Xu
+	Regularity of the spatially homogenous fractional Kramers-Fokker-Planck equation	2022	Chao-Jiang Xu Yan Xu
+	The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials	2021	Hao‐Guang Li Chao-Jiang Xu
+ PDF Chat	On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations	2020	Feng Cheng Chao-Jiang Xu
+	The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space	2020	Hongmei Cao Hao‐Guang Li Chao-Jiang Xu Jiang Xu
+ PDF Chat	Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules	2020	Yoshinori Morimoto Chao-Jiang Xu
+	Subellipticity of some complex vector fields related to Witten Laplacian	2020	Wei‐Xi Li Chao-Jiang Xu
+ PDF Chat	The Cauchy problem for the inhomogeneous\\ non-cutoff Kac equation in critical Besov space	2019	Hongmei Cao Hao‐Guang Li Chao-Jiang Xu Jiang Xu
+ PDF Chat	BOUNDARY LAYER ANALYSIS FOR THE FAST HORIZONTAL ROTATING FLUIDS	2019	Wei‐Xi Li Van-Sang Ngo Chao-Jiang Xu
+ PDF Chat	Analytical Smoothing Effect of Solution for the Boussinesq Equations	2019	Feng Cheng Chao-Jiang Xu
+ PDF Chat	On the Gevrey regularity of solutions to the 3D ideal MHD equations	2019	Feng Cheng Chao-Jiang Xu
+ PDF Chat	Cauchy problem for the spatially homogeneous landau equation with shubin class initial datum and gelfand-shilov smoothing effect	2019	Hao‐Guang Li Chao-Jiang Xu
+	The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space	2019	Hongmei Cao Hao‐Guang Li Chao-Jiang Xu Jiang Xu
+	The fast horizontal rotating fluids	2019	Wei‐Xi Li Van-Sang Ngo Chao-Jiang Xu
+ PDF Chat	Cauchy Problem for the Spatially Homogeneous Landau Equation with Shubin Class Initial Datum and Gelfand--Shilov Smoothing Effect	2019	Hao‐Guang Li Chao-Jiang Xu
+	Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules	2019	Yoshinori Morimoto Chao-Jiang Xu
+	On the radius of spatial analyticity for the inviscid Boussinesq equations	2019	Feng Cheng Chao-Jiang Xu
+ PDF Chat	The cauchy problem for radially symmetric homogeneous boltzmann equation with shubin class initial datum and gelfand-shilov smoothing effect	2019	Hao‐Guang Li Chao-Jiang Xu
+ PDF Chat	Existence and convexity of local solutions to degenerate Hessian equations	2018	Guji Tian Chao-Jiang Xu
+ PDF Chat	Incompressible Navier-Stokes-Fourier Limit from The Boltzmann Equation: Classical Solutions	2018	Ning Jiang Chao-Jiang Xu Huijiang Zhao
+	Microlocal analysis on PDE : Some contributions by Yoshinori Morimoto around kinetic equations (Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics)	2017	Chao-Jiang Xu
+	Long time well-posedness of Prandtl equations in Sobolev space	2017	Chao-Jiang Xu Xu Zhang
+	The Cauchy problem for the radially symmetric homogeneous Boltzmann equation with Shubin class initial datum and Gelfand–Shilov smoothing effect	2017	Hao‐Guang Li Chao-Jiang Xu
+ PDF Chat	Gevrey regularity with weight for incompressible euler equation in the half plane	2017	Cheng Feng Wei‐Xi Li Chao-Jiang Xu
+	The cauchy problem for radially symmetric homogeneous boltzmann equation with shubin class initial datum and gelfand-shilov smoothing effect	2017	Hao‐Guang Li Chao-Jiang Xu
+ PDF Chat	Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation	2016	Léo Glangetas Hao‐Guang Li Chao-Jiang Xu
+	Local solvability of the k-Hessian equations	2016	Guanglei Tian Qi Wang Chao-Jiang Xu
+ PDF Chat	Gevrey Class Smoothing Effect for the Prandtl Equation	2016	Wei‐Xi Li Di Wu Chao-Jiang Xu
+	Well-posedness of the Prandtl equation in Sobolev space without monotonicity	2015	Chao-Jiang Xu Shouxin Zhang
+	Almost global-in-time solution of the Prandtl equations in Sobolev space	2015	Chao-Jiang Xu Shouxin Zhang
+ PDF Chat	$C^\infty$ Local solutions of elliptical $2-$Hessian equation in $\mathbb{R}^3$	2015	Guji Tian Qi Wang Chao-Jiang Xu
+	Gelfand–Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation	2015	Nicolás Lerner Y. Morimoto Karel Pravda‐Starov Chao-Jiang Xu
+	Gevrey regularity with weight for incompressible Euler equation in the half plane	2015	Feng Cheng Wei‐Xi Li Chao-Jiang Xu
+	homogeneous Boltzmann equation	2015	Léo Glangetas Hao‐Guang Li Chao-Jiang Xu
+	Long time well-posdness of the Prandtl equations in Sobolev space	2015	Chao-Jiang Xu Shouxin Zhang
+	Local solvability of the degenerate Hessian equations	2014	Guanglei Tian Qi Wang Chao-Jiang Xu
+ PDF Chat	Local solvability of the $k$-Hessian equations	2014	Guanglei Tian Qi Wang Chao-Jiang Xu
+	Gelfand-Shilov smoothing effect for the Cauchy problem of the non-cutoff spatially homogeneous Boltzmann equation	2014	Léo Glangetas Hao‐Guang Li Chao-Jiang Xu
+ PDF Chat	Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator	2014	Nicolás Lerner Y. Morimoto Karel Pravda‐Starov Chao-Jiang Xu
+	Well-posedness of the Prandtl equation in Sobolev spaces	2014	Radjesvarane Alexandre Yuxin Wang Chao-Jiang Xu Tong Yang
+	solution of the Dirichlet problem for degenerate -Hessian equations	2014	Qi Wang Chao-Jiang Xu
+	Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation	2014	Yoshinori Morimoto Nicolás Lerner Karel Pravda‐Starov Chao-Jiang Xu
+	Incompressible Navier-Stokes-Fourier Limit from The Boltzmann Equation: Classical Solutions	2014	Ning Jiang Chao-Jiang Xu Huijiang Zhao
+ PDF Chat	Gelfand–Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff	2013	Nicolás Lerner Y. Morimoto Karel Pravda‐Starov Chao-Jiang Xu
+	Spectral and phase space analysis of the linearized non-cutoff Kac collision operator	2013	Nicolás Lerner Y. Morimoto Karel Pravda‐Starov Chao-Jiang Xu
+ PDF Chat	Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators	2013	Nicolás Lerner Yoshinori Morimoto Karel Pravda–Starov Chao-Jiang Xu
+	A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation	2013	Yoshinori Morimoto Karel Pravda–Starov Chao-Jiang Xu
+	Local existence with mild regularity for the Boltzmann equation	2013	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	$C^{1, 1}$ Solution of the Dirichlet Problem for Degenerate $k$-Hessian Equations	2013	Chao-Jiang Xu Qi Wang
+ PDF Chat	A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation	2013	Yoshinori Morimoto Karel Pravda–Starov Chao-Jiang Xu
+	Gelfand-Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff	2012	Nicolás Lerner Yoshinori Morimoto Karel Pravda–Starov Chao-Jiang Xu
+	Spatially homogeneous boltzmann equation without angular cutoff	2012	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff	2012	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	The Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential	2011	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	Diagonalization of the Linearized Non-Cutoff Radially Symmetric Boltzmann Operator	2011	Nicolás Lerner Yoshinori Morimoto Karel Pravda–Starov Chao-Jiang Xu
+	Gevrey regularity of subelliptic Monge–Ampère equations in the plane	2011	Hua Chen Wei‐Xi Li Chao-Jiang Xu
+ PDF Chat	The Boltzmann Equation Without Angular Cutoff in the Whole Space: Qualitative Properties of Solutions	2011	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	Global Existence and Full Regularity of the Boltzmann Equation Without Angular Cutoff	2011	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	THE BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF IN THE WHOLE SPACE: II, GLOBAL EXISTENCE FOR HARD POTENTIAL	2011	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	Gevrey Hypoellipticity for a Class of Kinetic Equations	2011	Hua Chen Wei‐Xi Li Chao-Jiang Xu
+	Spectral and phase space analysis of the linearized non-cutoff Kac collision operator	2011	Nicolás Lerner Yoshinori Morimoto Karel Pravda–Starov Chao-Jiang Xu
+ PDF Chat	Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential	2011	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	THE GEVREY HYPOELLIPTICITY FOR A CLASS OF KINETIC EQUATIONS	2011	Hua Chen Wei‐Xi Li Chao-Jiang Xu
+ PDF Chat	Bounded solutions of the Boltzmann equation in the whole space	2011	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	The Boltzmann equation without angular cutoff in the whole space : Qualitative properties of solutions	2011	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff	2010	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	The Boltzmann equation without angular cutoff in the whole space: I, an essential coercivity estimate	2010	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems	2010	Nicolás Lerner Yoshinori Morimoto Chao-Jiang Xu
+ PDF Chat	Regularizing Effect and Local Existence for the Non-Cutoff Boltzmann Equation	2010	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential	2010	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential	2010	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	The Boltzmann equation without angular cutoff. Global existence and full regularity of the Boltzmann equation without angular cutoff. Part I : Maxwellian case and small singularity.	2009	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation	2009	Nadia Lekrine Chao-Jiang Xu
+	Analytic smoothness effect of solutions for spatially homogeneous Landau equation	2009	Hua Chen Wei‐Xi Li Chao-Jiang Xu
+ PDF Chat	Existence of local solutions for the Boltzmann equation without angular cutoff	2009	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	Analytic smoothness effect of solutions for spatially homogeneous Landau equation	2009	Hua Chen Wei‐Xi Li Chao-Jiang Xu
+	Regularity of solutions for the Boltzmann equation without angular cutoff	2009	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	Ultra-analytic effect of Cauchy problem for a class of kinetic equations	2009	Yoshinori Morimoto Chao-Jiang Xu
+ PDF Chat	Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation	2009	Nadia Lekrine Chao-Jiang Xu
+	Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff	2009	Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	Trace theorem on the Heisenberg group	2009	Hajer Bahouri Jean-Yves Chemin Chao-Jiang Xu
+	Gevrey regularity of subelliptic Monge-Ampère equations in the plane	2009	Hua Chen Wei‐Xi Li Chao-Jiang Xu
+ PDF Chat	The Gevrey Hypoellipticity for linear and non-linear Fokker-Planck equations	2009	Hua Chen Wei‐Xi Li Chao-Jiang Xu
+	Gevrey hypoellipticity for a class of kinetic equations	2009	Hua Chen Wei‐Xi Li Chao-Jiang Xu
+	Global existence and full regularity of the Boltzmann equation without angular cutoff	2009	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	Trace theorem on the Heisenberg group	2009	Hajer Bahouri Jean-Yves Chemin Chao-Jiang Xu
+	Regularizing eect and local existence for non-cuto Boltzmann equation	2009	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	Uncertainty principle and kinetic equations	2008	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	Gevrey hypoellipticity for linear and non-linear Fokker–Planck equations	2008	Hua Chen Wei‐Xi Li Chao-Jiang Xu
+ PDF Chat	Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff	2008	Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+ PDF Chat	Propagation of Gevrey regularity for solutions of Landau equations	2008	Hua Chen Wei‐Xi Li Chao-Jiang Xu
+	Uncertainty principle and regularity for Boltzmann type equations	2007	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang
+	Nonlinear hypoellipticity of infinite type	2007	Chao-Jiang Xu Yoshinori Morimoto
+ PDF Chat	Hypoellipticity for a class of kinetic equations	2007	Chao-Jiang Xu Yoshinori Morimoto
+	Trace theorem on the Heisenberg group on homogeneous hypersurfaces	2006	Hajer Bahouri Jean-Yves Chemin Chao-Jiang Xu
+	TRACE AND TRACE LIFTING THEOREMS IN WEIGHTED SOBOLEV SPACES	2005	Hajer Bahouri Jean-Yves Chemin Chao-Jiang Xu
+ PDF Chat	The Cauchy problem for viscous shallow water equations	2005	Weike Wang Chao-Jiang Xu
+	Local existence with physical vacuum boundary condition to Euler equations with damping	2004	Chao-Jiang Xu Tong Yang
+	Regularity of weak solutions for a class of infintely degenerate elliptic semilinear equation	2004	Yoshinori Morimoto Chao-Jiang Xu
+	Espaces de Besov et estimations de Strichartz généralisées sur le groupe de Heisenberg	2000	Hajer Bahouri Patrick Gérard Chao-Jiang Xu
+	Remarques sur les fonctions de Green associées aux opérateurs de Hörmander	2000	Claudy Cancelier Chao-Jiang Xu
+	The dirichlet problems for a class of semilinear sub-elliptic equations	1999	Chao-Jiang Xu
+ PDF Chat	Subelliptic harmonic maps	1998	Jürgen Jost Chao-Jiang Xu
+	Estimations de Strichartz généralisées sur le groupe de Heisenberg	1998	Hajer Bahouri Patrick Gérard Chao-Jiang Xu
+	The dirichlet problem for sub-elliptic second order equations	1997	Alberto Parmeggiani Chao-Jiang Xu
+	Remarque sur la régularité de solutions faibles d'équations elliptiques semi-linéaires	1997	Jean-Yves Chemin Chao-Jiang Xu
+	Higher interior regularity for quasilinear subelliptic systems	1997	Chao-Jiang Xu Claude Zuily
+	Sobolev embeddings in Weyl-Hörmander calculus	1997	Jean-Yves Chemin Chao-Jiang Xu
+	Application équilibre d'un espace homogène dans une variété riemannienne	1995	Chao-Jiang Xu
+	Propagation au bord des singularités pour des problèmes de Dirichlet non linéaires d'ordre deux	1990	Chao-Jiang Xu
+ PDF Chat	Propagation de la régularité microlocale pour des problèmes de Dirichlet non linéaires d'ordre deux	1989	Chao-Jiang Xu
+	Propagation de la régularité microlocale pour des problèmes de Dirichlet non linéaires d'ordre deux	1989	Chao-Jiang Xu
+ PDF Chat	Smoothness up to the boundary for solutions of the nonlinear and nonelliptic Dirichlet problem	1988	Chao-Jiang Xu Claude Zuily
+ PDF Chat	Régularité des solutions d'équations aux dérivées partielles non linéaires associées à un système de champs de vecteurs	1987	Chao-Jiang Xu
+	Équations aux dérivées partielles non linéaires sous-elliptiques	1986	Chao-Jiang Xu
+	Hypoellipticité d'équations aux dérivées partielles non linéaires	1985	Chao-Jiang Xu
+	Hypoellipticité d'équations aux dérivées partielles non linéaires	1985	Chao-Jiang Xu
+ PDF Chat	Regularity of solutions of nonlinear partial differential equations	1984	Chao-Jiang Xu

Common Coauthors

Coauthor	Papers Together
Seiji Ukai	24
Tong Yang	24
Yoshinori Morimoto	23
Radjesvarane Alexandre	22
Wei‐Xi Li	20
Hao‐Guang Li	16
Karel Pravda–Starov	11
Nicolás Lerner	10
Y. Morimoto	9
Jean-Yves Chemin	6
Hajer Bahouri	6
Yan Xu	5
Feng Cheng	4
Qi Wang	3
Xu Zhang	3
Hua Chen	3
Xinghong Pan	3
Guanglei Tian	3
Hua Chen	3
Léo Glangetas	3
Y. Morimoto	3
Qi Wang	3
Hongmei Cao	3
Y. Morimoto	3
Tong Yang	2
Patrick Gérard	2
Nadia Lekrine	2
Claude Zuily	2
Ning Jiang	2
Jiang Xu	2
Hua Chen	2
Huijiang Zhao	2
Van-Sang Ngo	2
Hongmei Cao	2
Xu Yan	2
Hua Chen	2
Tong Yang	2
Junling Chen	2
Guji Tian	2
Xiao-Dong Cao	2
Yoshinori Morimoto	2
Xinghong Pan	2
Xu Yan	1
Jiang Xu	1
Di Wu	1
Feng Cheng	1
Xu Zhang	1
Claudy Cancelier	1
Wei Liu	1
Alberto Parmeggiani	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Entropy Dissipation and Long-Range Interactions	2000	Radjesvarane Alexandre Laurent Desvillettes Cédric Villani Bernt Wennberg	32
+	A Review of Mathematical Topics in Collisional Kinetic Theory	2002	Cédric Villani	31
+	Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff	2004	Laurent Desvillettes Bernt Wennberg	29
+	Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff	1984	Seiji Ukai	28
+	Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff	2009	Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	26
+	On a New Class of Weak Solutions to the Spatially Homogeneous Boltzmann and Landau Equations	1998	Cédric Villani	24
+ PDF Chat	Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules	2008	Laurent Desvillettes Giulia Furioli Elide Terraneo	22
+	The Landau Equation in a Periodic Box	2002	Yan Guo	21
+ PDF Chat	Ultra-analytic effect of Cauchy problem for a class of kinetic equations	2009	Yoshinori Morimoto Chao-Jiang Xu	20
+ PDF Chat	Regularizing Effect and Local Existence for the Non-Cutoff Boltzmann Equation	2010	Radjesvarane Alexandre Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	19
+ PDF Chat	Global Existence and Full Regularity of the Boltzmann Equation Without Angular Cutoff	2011	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	19
+	Uncertainty principle and kinetic equations	2008	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	18
+	Boltzmann collision operator with inverse-power intermolecular potentials	2011	Young-ping Pao	16
+	The Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential	2011	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	15
+	On the Boltzmann equation for long‐range interactions	2001	Radjesvarane Alexandre Cédric Villani	15
+ PDF Chat	About the regularizing properties of the non-cut-off Kac equation	1995	Laurent Desvillettes	14
+ PDF Chat	Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff	2008	Yoshinori Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	14
+	On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness	2000	Laurent Desvillettes Cédric Villani	14
+ PDF Chat	Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff	2007	Clément Mouhot Robert M. Strain	14
+	Global classical solutions of the Boltzmann equation without angular cut-off	2011	Philip T. Gressman Robert M. Strain	14
+	LITTLEWOOD–PALEY THEORY AND REGULARITY ISSUES IN BOLTZMANN HOMOGENEOUS EQUATIONS I: NON-CUTOFF CASE AND MAXWELLIAN MOLECULES	2005	Radjesvarane Alexandre Mouhamad El Safadi	14
+ PDF Chat	Hypoellipticity for a class of kinetic equations	2007	Chao-Jiang Xu Yoshinori Morimoto	13
+ PDF Chat	Gelfand–Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff	2013	Nicolás Lerner Y. Morimoto Karel Pravda‐Starov Chao-Jiang Xu	13
+	On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability	1989	Ronald J. DiPerna Pierre‐Louis Lions	13
+	Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians	2005	Bernard Helffer Francis Nier	13
+	The analysis of linear partial differential operators	1990	Lars Hörmander	12
+	Hypoelliptic regularity in kinetic equations	2002	François Bouchut	12
+ PDF Chat	The Boltzmann Equation Without Angular Cutoff in the Whole Space: Qualitative Properties of Solutions	2011	Radjesvarane Alexandre Y. Morimoto Seiji Ukai Chao-Jiang Xu Tong Yang	11
+ PDF Chat	Gevrey hypoellipticity for linear and non-linear Fokker–Planck equations	2008	Hua Chen Wei‐Xi Li Chao-Jiang Xu	10
+ PDF Chat	Hypoelliptic differential operators and nilpotent groups	1976	Linda Preiss Rothschild E. M. Stein	10
+	ON THE SPATIALLY HOMOGENEOUS LANDAU EQUATION FOR MAXWELLIAN MOLECULES	1998	Cédric Villani	10
+ PDF Chat	Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires	1981	Jean-Michel Bony	10
+ PDF Chat	Explicit Coercivity Estimates for the Linearized Boltzmann and Landau Operators	2006	Clément Mouhot	10
+	None	2001	Radjesvarane Alexandre	10
+ PDF Chat	Isotropic Hypoellipticity and Trend to Equilibrium for the Fokker-Planck Equation with a High-Degree Potential	2003	Frédéric Hérau Francis Nier	9
+	Solutions of the Boltzmann Equation	1986	Seiji Ukai	9
+ PDF Chat	A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation	2013	Yoshinori Morimoto Karel Pravda–Starov Chao-Jiang Xu	9
+	The Boltzmann equation in the whole space	2004	Yan Guo	9
+	Zero Viscosity Limit for Analytic Solutions, of the Navier-Stokes Equation on a Half-Space.¶I. Existence for Euler and Prandtl Equations	1998	M. Sammartino Russel E. Caflisch	9
+	Gevrey smoothing effect of solutions for spatially homogeneous nonlinear Boltzmann equation without angular cutoff	2010	Yoshinori Morimoto Seiji Ukai	9
+	Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces	2008	Todor Gramchev Stevan Pilipović Luigi Rodino	9
+	Boltzmann collision operator with inverse‐power intermolecular potentials, I	1974	Young-ping Pao	9
+ PDF Chat	A note on Prandtl boundary layers	2011	Yan Guo Toan T. Nguyen	8
+ PDF Chat	Global classical solutions of the Boltzmann equation with long-range interactions	2010	Philip T. Gressman Robert M. Strain	8
+	Regularity in the boltzmann equation and the radon transform	1994	Bernt Wennberg	8
+	Well-posedness of the Prandtl equation in Sobolev spaces	2014	Radjesvarane Alexandre Yuxin Wang Chao-Jiang Xu Tong Yang	8
+ PDF Chat	Well-Posedness of the Boundary Layer Equations	2003	Maria Carmela Lombardo Marco Cannone M. Sammartino	8
+	Analytic smoothness effect of solutions for spatially homogeneous Landau equation	2009	Hua Chen Wei‐Xi Li Chao-Jiang Xu	8
+ PDF Chat	Hypoelliptic second order differential equations	1967	Lars Hörmander	8
+ PDF Chat	Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation	2009	Nadia Lekrine Chao-Jiang Xu	8