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Author ID: xu.chao-jiang Recent zbMATH articles by "Xu, Chao-Jiang"
Published as: Xu, Chao-Jiang; Xu, C.-J.; Xu, C. J.; Xu, Chao-jiang
Documents Indexed: 96 Publications since 1985, including 11 Additional arXiv Preprints
Biographic References: 1 Publication
Co-Authors: 23 Co-Authors with 72 Joint Publications
773 Co-Co-Authors
all top 5

Serials

10 Kinetic and Related Models
9 Journal of Differential Equations
4 Séminaire Équations aux Dérivées Partielles
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 International Journal for Numerical and Analytical Methods in Geomechanics
3 Journal of Functional Analysis
2 Archive for Rational Mechanics and Analysis
2 Mathematical Methods in the Applied Sciences
2 Annales de l’Institut Fourier
2 Transactions of the American Mathematical Society
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Mathematical Analysis
2 Engineering Analysis with Boundary Elements
2 Discrete and Continuous Dynamical Systems
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Science China. Mathematics
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 American Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin de la Société Mathématique de France
1 Funkcialaj Ekvacioj. Serio Internacia
1 Indiana University Mathematics Journal
1 Journal of Mathematics of Kyoto University
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 Communications in Partial Differential Equations
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Calculus of Variations and Partial Differential Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Communications on Pure and Applied Analysis
1 Journal of the Institute of Mathematics of Jussieu
1 Communications in Mathematical Sciences
1 Analysis and Applications (Singapore)
1 Mathematical Research Report. Preprint
1 RIMS Kôkyûroku Bessatsu
1 Kyoto Journal of Mathematics
1 Séminaire Laurent Schwartz. EDP et Applications

Publications by Year

Citations contained in zbMATH Open

69 Publications have been cited 1,235 times in 621 Documents Cited by Year
Well-posedness of the Prandtl equation in Sobolev spaces. Zbl 1317.35186
Alexandre, R.; Wang, Y.-G.; Xu, C.-J.; Yang, T.
108
2015
The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential. Zbl 1232.35110
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
75
2012
Regularizing effect and local existence for the non-cutoff Boltzmann equation. Zbl 1257.76099
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
75
2010
Global existence and full regularity of the Boltzmann equation without angular cutoff. Zbl 1230.35082
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
61
2011
Regularity for quasilinear second-order subelliptic equations. Zbl 0827.35023
Xu, Chao-Jiang
56
1992
Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315
Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
53
2009
The Boltzmann equation without angular cutoff in the whole space. II: Global existence for hard potential. Zbl 1220.35110
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
47
2011
Higher interior regularity for quasilinear subelliptic systems. Zbl 0902.35019
Xu, Chao-Jiang; Zuily, Claude
46
1997
The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions. Zbl 1426.76660
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
45
2011
Besov spaces and Strichartz estimates on the Heisenberg group. (Espaces de Besov et estimations de Strichartz généralisées sur le groupe de Heisenberg.) Zbl 0965.22010
Bahouri, Hajer; Gérard, Patrick; Xu, Chao-Jiang
44
2000
Subelliptic harmonic maps. Zbl 0980.35051
Jost, Jürgen; Xu, Chao-Jiang
39
1998
The Cauchy problem for viscous shallow water equations. Zbl 1095.35037
Wang, Weike; Xu, Chao-Jiang
39
2005
Ultra-analytic effect of Cauchy problem for a class of kinetic equations. Zbl 1175.35024
Morimoto, Yoshinori; Xu, Chao-Jiang
38
2009
Uncertainty principle and kinetic equations. Zbl 1166.35038
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
34
2008
Subelliptic variational problems. Zbl 0717.49004
Xu, Chao-Jiang
33
1990
Local existence with physical vacuum boundary condition to Euler equations with damping. Zbl 1061.35049
Xu, Chao-Jiang; Yang, Tong
29
2005
Gelfand-Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1315.35141
Lerner, N.; Morimoto, Y.; Pravda-Starov, K.; Xu, C.-J.
26
2014
Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
24
2013
Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1247.35085
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
21
2012
Analytic smoothness effect of solutions for spatially homogeneous Landau equation. Zbl 1180.35148
Chen, Hua; Li, Wei-Xi; Xu, Chao-Jiang
21
2010
Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations. Zbl 1162.35016
Chen, Hua; Li, Wei-Xi; Xu, Chao-Jiang
21
2009
Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac’s equation. Zbl 1194.35089
Lekrine, Nadia; Xu, Chao-Jiang
20
2009
Hypoellipticity for a class of kinetic equations. Zbl 1146.35027
Morimoto, Yoshinori; Xu, Chao-Jiang
19
2007
Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators. Zbl 1282.35270
Lerner, Nicolas; Morimoto, Yoshinori; Pravda-Starov, Karel; Xu, Chao-Jiang
19
2013
Gevrey class smoothing effect for the Prandtl equation. Zbl 1338.35087
Li, Wei-Xi; Wu, Di; Xu, Chao-Jiang
18
2016
A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation. Zbl 1284.35102
Morimoto, Yoshinori; Pravda-Starov, Karel; Xu, Chao-Jiang
17
2013
Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems. Zbl 1194.35104
Lerner, N.; Morimoto, Y.; Xu, C.-J.
17
2010
Gevrey hypoellipticity for a class of kinetic equations. Zbl 1242.35103
Chen, Hua; Li, Wei-xi; Xu, Chao-Jiang
16
2011
Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation. Zbl 1405.35018
Lerner, N.; Morimoto, Y.; Pravda-Starov, K.; Xu, C.-J.
15
2015
Propagation of Gevrey regularity for solutions of Landau equations. Zbl 1157.35328
Chen, Hua; Li, Wei-Xi; Xu, Chao-Jiang
15
2008
Logarithmic Sobolev inequality and semilinear Dirichlet problems for infinitely degenerate elliptic operators. Zbl 1096.35048
Morimoto, Yoshinori; Xu, Chao-Jiang
15
2003
Spectral and phase space analysis of the linearized non-cutoff Kac collision operator. Zbl 1285.35061
Lerner, N.; Morimoto, Y.; Pravda-Starov, K.; Xu, C.-J.
14
2013
Weyl calculus and subelliptic operators. (Calcul de Weyl et opérateurs sous-elliptiques.) Zbl 0797.35008
Cancelier, C. E.; Chemin, J.-Y.; Xu, C. J.
14
1993
\(C^{1,1}\) solution of the Dirichlet problem for degenerate \(k\)-Hessian equations. Zbl 1316.35103
Wang, Qi; Xu, Chao-Jiang
13
2014
Trace and trace lifting theorems in weighted Sobolev spaces. Zbl 1089.35016
Bahouri, Hajer; Chemin, Jean-Yves; Xu, Chao-Jiang
13
2005
Incompressible Navier-Stokes-Fourier limit from the Boltzmann equation: classical solutions. Zbl 1420.35172
Jiang, Ning; Xu, Chao-Jiang; Zhao, Huijiang
13
2018
Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation. Zbl 1333.35152
Glangetas, Léo; Li, Hao-Guang; Xu, Chao-Jiang
12
2016
Long time well-posedness of Prandtl equations in Sobolev space. Zbl 1378.35252
Xu, Chao-Jiang; Zhang, Xu
12
2017
Bounded solutions of the Boltzmann equation in the whole space. Zbl 1215.35115
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
12
2011
A meshless local natural neighbour interpolation method to modeling of functionally graded viscoelastic materials. Zbl 1403.74295
Chen, S. S.; Xu, C. J.; Tong, G. S.
10
2015
Free vibration of moderately thick functionally graded plates by a meshless local natural neighbor interpolation method. Zbl 1403.74296
Chen, Shen Shen; Xu, C. J.; Tong, G. S.; Wei, X.
9
2015
Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff. (Existence globale pour l’équation de Boltzmann sans troncature.) Zbl 1200.35296
Alexandre, Radjesvarane; Morimoto, Y.; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
9
2010
The Cauchy problem for the radially symmetric homogeneous Boltzmann equation with Shubin class initial datum and Gelfand-Shilov smoothing effect. Zbl 1375.35302
Li, Hao-Guang; Xu, Chao-Jiang
7
2017
Trace theorem on the Heisenberg group. Zbl 1176.46037
Bahouri, Hajer; Chemin, Jean-Yves; Xu, Chao-Jiang
7
2009
Regularity of solutions for the Boltzmann equation without angular cutoff. Zbl 1167.35322
Alexandre, Radjesvarane; Morimoto, Yoshinore; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
7
2009
Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential. Zbl 1251.35062
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
6
2011
Nonlinear hypoellipticity of infinite type. Zbl 1251.35022
Morimoto, Yoshinori; Xu, Chao-Jiang
6
2007
Trace theorem on the Heisenberg group on homogeneous hypersurfaces. Zbl 1127.35322
Bahouri, Hajer; Chemin, Jean-Yves; Xu, Chao-Jiang
4
2006
Smoothness up to the boundary for solutions of the nonlinear and nonelliptic Dirichlet problem. Zbl 0669.35019
Xu, C. J.; Zuily, C.
4
1988
Remarks on Green’s functions associated with Hörmander’s operators. (Remarques sur les fonctions de Green associées aux opérateurs de Hörmander.) Zbl 0949.35023
Cancelier, Claudy; Xu, Chao-Jiang
4
2000
Cauchy problem for the spatially homogeneous Landau equation with Shubin class initial datum and Gelfand-Shilov smoothing effect. Zbl 1411.35076
Li, Hao-Guang; Xu, Chao-Jiang
4
2019
Régularité des solutions pour les équations aux dérivées partielles quasi linéaires non elliptiques du second ordre. (Regularity of solutions of second order non elliptic quasilinear partial differential equations). Zbl 0587.35034
Xu, Chao-Jiang
4
1985
Uncertainty principle and regularity for Boltzmann type equations. Zbl 1149.35019
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
4
2007
Local solvability of the \(k\)-Hessian equations. Zbl 1353.35162
Tian, GuJi; Wang, Qi; Xu, Chao-Jiang
3
2016
Well-posedness of Cauchy problem for Landau equation in critical Besov space. Zbl 1420.35076
Cao, Hongmei; Li, Hao-Guang; Xu, Chao-Jiang; Xu, Jiang
3
2019
Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules. Zbl 1451.35154
Morimoto, Yoshinori; Xu, Chao-Jiang
3
2020
Vertical dynamic response of a rigid foundation embedded in a poroelastic soil layer. Zbl 1273.74212
Cai, Y. Q.; Hu, X. Q.; Xu, C. J.; Hong, Z. S.
3
2009
Vertical vibration of an elastic strip footing on saturated soil. Zbl 1273.74211
Cai, Y. Q.; Cheng, Y. M.; Au, S. K. Alfred; Xu, C. J.; Ma, X. H.
3
2008
Vanishing viscosity limit of Navier-Stokes equations in Gevrey class. Zbl 1386.35322
Cheng, Feng; Li, Wei-Xi; Xu, Chao-Jiang
2
2017
The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space. Zbl 1434.35010
Cao, Hong-Mei; Li, Hao-Guang; Xu, Chao-Jiang; Xu, Jiang
2
2020
Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator. Zbl 1319.35156
Lerner, N.; Morimoto, Y.; Pravda-Starov, K.; Xu, C.-J.
2
2013
\(C^\infty\) local solutions of elliptical \(2\)-Hessian equation in \(\mathbb{R}^3\). Zbl 1323.35039
Tian, Guji; Wang, Qi; Xu, Chao-Jiang
2
2016
Remarks on the regularity of weak solutions of some semilinear elliptic equations. (Remarque sur la régularité de solutions faibles d’équations elliptiques semi-linéaires.) Zbl 0883.35017
Chemin, Jean-Yves; Xu, Chao-Jiang
2
1997
The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials. Zbl 1498.35135
Li, Hao-Guang; Xu, Chao-Jiang
2
2022
Boundary layer analysis for the fast horizontal rotating fluids. Zbl 1421.35283
Li, Wei-Xi; Ngo, Van-Sang; Xu, Chao-Jiang
2
2019
The Dirichlet problem for sub-elliptic second order equations. Zbl 0934.35031
Parmeggiani, Alberto; Xu, Chao-Jiang
2
1997
Trace theorem in Sobolev spaces associated with Hörmander’s vector fields. Zbl 0993.46014
Bahouri, H.; Chemin, J.-Y.; Xu, C.-J.
1
1999
Calcul de Weyl et opérateurs sous-elliptiques. (Weyl’s calculus and subelliptic operators). Zbl 0784.35127
Cancelier, C. E.; Chemin, J.-Y.; Xu, C. J.
1
1992
Existence of local solutions for the Boltzmann equation without angular cutoff. Zbl 1179.35232
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
1
2009
The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials. Zbl 1498.35135
Li, Hao-Guang; Xu, Chao-Jiang
2
2022
Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules. Zbl 1451.35154
Morimoto, Yoshinori; Xu, Chao-Jiang
3
2020
The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space. Zbl 1434.35010
Cao, Hong-Mei; Li, Hao-Guang; Xu, Chao-Jiang; Xu, Jiang
2
2020
Cauchy problem for the spatially homogeneous Landau equation with Shubin class initial datum and Gelfand-Shilov smoothing effect. Zbl 1411.35076
Li, Hao-Guang; Xu, Chao-Jiang
4
2019
Well-posedness of Cauchy problem for Landau equation in critical Besov space. Zbl 1420.35076
Cao, Hongmei; Li, Hao-Guang; Xu, Chao-Jiang; Xu, Jiang
3
2019
Boundary layer analysis for the fast horizontal rotating fluids. Zbl 1421.35283
Li, Wei-Xi; Ngo, Van-Sang; Xu, Chao-Jiang
2
2019
Incompressible Navier-Stokes-Fourier limit from the Boltzmann equation: classical solutions. Zbl 1420.35172
Jiang, Ning; Xu, Chao-Jiang; Zhao, Huijiang
13
2018
Long time well-posedness of Prandtl equations in Sobolev space. Zbl 1378.35252
Xu, Chao-Jiang; Zhang, Xu
12
2017
The Cauchy problem for the radially symmetric homogeneous Boltzmann equation with Shubin class initial datum and Gelfand-Shilov smoothing effect. Zbl 1375.35302
Li, Hao-Guang; Xu, Chao-Jiang
7
2017
Vanishing viscosity limit of Navier-Stokes equations in Gevrey class. Zbl 1386.35322
Cheng, Feng; Li, Wei-Xi; Xu, Chao-Jiang
2
2017
Gevrey class smoothing effect for the Prandtl equation. Zbl 1338.35087
Li, Wei-Xi; Wu, Di; Xu, Chao-Jiang
18
2016
Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation. Zbl 1333.35152
Glangetas, Léo; Li, Hao-Guang; Xu, Chao-Jiang
12
2016
Local solvability of the \(k\)-Hessian equations. Zbl 1353.35162
Tian, GuJi; Wang, Qi; Xu, Chao-Jiang
3
2016
\(C^\infty\) local solutions of elliptical \(2\)-Hessian equation in \(\mathbb{R}^3\). Zbl 1323.35039
Tian, Guji; Wang, Qi; Xu, Chao-Jiang
2
2016
Well-posedness of the Prandtl equation in Sobolev spaces. Zbl 1317.35186
Alexandre, R.; Wang, Y.-G.; Xu, C.-J.; Yang, T.
108
2015
Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation. Zbl 1405.35018
Lerner, N.; Morimoto, Y.; Pravda-Starov, K.; Xu, C.-J.
15
2015
A meshless local natural neighbour interpolation method to modeling of functionally graded viscoelastic materials. Zbl 1403.74295
Chen, S. S.; Xu, C. J.; Tong, G. S.
10
2015
Free vibration of moderately thick functionally graded plates by a meshless local natural neighbor interpolation method. Zbl 1403.74296
Chen, Shen Shen; Xu, C. J.; Tong, G. S.; Wei, X.
9
2015
Gelfand-Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1315.35141
Lerner, N.; Morimoto, Y.; Pravda-Starov, K.; Xu, C.-J.
26
2014
\(C^{1,1}\) solution of the Dirichlet problem for degenerate \(k\)-Hessian equations. Zbl 1316.35103
Wang, Qi; Xu, Chao-Jiang
13
2014
Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
24
2013
Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators. Zbl 1282.35270
Lerner, Nicolas; Morimoto, Yoshinori; Pravda-Starov, Karel; Xu, Chao-Jiang
19
2013
A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation. Zbl 1284.35102
Morimoto, Yoshinori; Pravda-Starov, Karel; Xu, Chao-Jiang
17
2013
Spectral and phase space analysis of the linearized non-cutoff Kac collision operator. Zbl 1285.35061
Lerner, N.; Morimoto, Y.; Pravda-Starov, K.; Xu, C.-J.
14
2013
Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator. Zbl 1319.35156
Lerner, N.; Morimoto, Y.; Pravda-Starov, K.; Xu, C.-J.
2
2013
The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential. Zbl 1232.35110
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
75
2012
Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1247.35085
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
21
2012
Global existence and full regularity of the Boltzmann equation without angular cutoff. Zbl 1230.35082
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
61
2011
The Boltzmann equation without angular cutoff in the whole space. II: Global existence for hard potential. Zbl 1220.35110
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
47
2011
The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions. Zbl 1426.76660
Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T.
45
2011
Gevrey hypoellipticity for a class of kinetic equations. Zbl 1242.35103
Chen, Hua; Li, Wei-xi; Xu, Chao-Jiang
16
2011
Bounded solutions of the Boltzmann equation in the whole space. Zbl 1215.35115
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
12
2011
Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential. Zbl 1251.35062
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
6
2011
Regularizing effect and local existence for the non-cutoff Boltzmann equation. Zbl 1257.76099
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
75
2010
Analytic smoothness effect of solutions for spatially homogeneous Landau equation. Zbl 1180.35148
Chen, Hua; Li, Wei-Xi; Xu, Chao-Jiang
21
2010
Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems. Zbl 1194.35104
Lerner, N.; Morimoto, Y.; Xu, C.-J.
17
2010
Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff. (Existence globale pour l’équation de Boltzmann sans troncature.) Zbl 1200.35296
Alexandre, Radjesvarane; Morimoto, Y.; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
9
2010
Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315
Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
53
2009
Ultra-analytic effect of Cauchy problem for a class of kinetic equations. Zbl 1175.35024
Morimoto, Yoshinori; Xu, Chao-Jiang
38
2009
Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations. Zbl 1162.35016
Chen, Hua; Li, Wei-Xi; Xu, Chao-Jiang
21
2009
Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac’s equation. Zbl 1194.35089
Lekrine, Nadia; Xu, Chao-Jiang
20
2009
Trace theorem on the Heisenberg group. Zbl 1176.46037
Bahouri, Hajer; Chemin, Jean-Yves; Xu, Chao-Jiang
7
2009
Regularity of solutions for the Boltzmann equation without angular cutoff. Zbl 1167.35322
Alexandre, Radjesvarane; Morimoto, Yoshinore; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
7
2009
Vertical dynamic response of a rigid foundation embedded in a poroelastic soil layer. Zbl 1273.74212
Cai, Y. Q.; Hu, X. Q.; Xu, C. J.; Hong, Z. S.
3
2009
Existence of local solutions for the Boltzmann equation without angular cutoff. Zbl 1179.35232
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
1
2009
Uncertainty principle and kinetic equations. Zbl 1166.35038
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
34
2008
Propagation of Gevrey regularity for solutions of Landau equations. Zbl 1157.35328
Chen, Hua; Li, Wei-Xi; Xu, Chao-Jiang
15
2008
Vertical vibration of an elastic strip footing on saturated soil. Zbl 1273.74211
Cai, Y. Q.; Cheng, Y. M.; Au, S. K. Alfred; Xu, C. J.; Ma, X. H.
3
2008
Hypoellipticity for a class of kinetic equations. Zbl 1146.35027
Morimoto, Yoshinori; Xu, Chao-Jiang
19
2007
Nonlinear hypoellipticity of infinite type. Zbl 1251.35022
Morimoto, Yoshinori; Xu, Chao-Jiang
6
2007
Uncertainty principle and regularity for Boltzmann type equations. Zbl 1149.35019
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
4
2007
Trace theorem on the Heisenberg group on homogeneous hypersurfaces. Zbl 1127.35322
Bahouri, Hajer; Chemin, Jean-Yves; Xu, Chao-Jiang
4
2006
The Cauchy problem for viscous shallow water equations. Zbl 1095.35037
Wang, Weike; Xu, Chao-Jiang
39
2005
Local existence with physical vacuum boundary condition to Euler equations with damping. Zbl 1061.35049
Xu, Chao-Jiang; Yang, Tong
29
2005
Trace and trace lifting theorems in weighted Sobolev spaces. Zbl 1089.35016
Bahouri, Hajer; Chemin, Jean-Yves; Xu, Chao-Jiang
13
2005
Logarithmic Sobolev inequality and semilinear Dirichlet problems for infinitely degenerate elliptic operators. Zbl 1096.35048
Morimoto, Yoshinori; Xu, Chao-Jiang
15
2003
Besov spaces and Strichartz estimates on the Heisenberg group. (Espaces de Besov et estimations de Strichartz généralisées sur le groupe de Heisenberg.) Zbl 0965.22010
Bahouri, Hajer; Gérard, Patrick; Xu, Chao-Jiang
44
2000
Remarks on Green’s functions associated with Hörmander’s operators. (Remarques sur les fonctions de Green associées aux opérateurs de Hörmander.) Zbl 0949.35023
Cancelier, Claudy; Xu, Chao-Jiang
4
2000
Trace theorem in Sobolev spaces associated with Hörmander’s vector fields. Zbl 0993.46014
Bahouri, H.; Chemin, J.-Y.; Xu, C.-J.
1
1999
Subelliptic harmonic maps. Zbl 0980.35051
Jost, Jürgen; Xu, Chao-Jiang
39
1998
Higher interior regularity for quasilinear subelliptic systems. Zbl 0902.35019
Xu, Chao-Jiang; Zuily, Claude
46
1997
Remarks on the regularity of weak solutions of some semilinear elliptic equations. (Remarque sur la régularité de solutions faibles d’équations elliptiques semi-linéaires.) Zbl 0883.35017
Chemin, Jean-Yves; Xu, Chao-Jiang
2
1997
The Dirichlet problem for sub-elliptic second order equations. Zbl 0934.35031
Parmeggiani, Alberto; Xu, Chao-Jiang
2
1997
Weyl calculus and subelliptic operators. (Calcul de Weyl et opérateurs sous-elliptiques.) Zbl 0797.35008
Cancelier, C. E.; Chemin, J.-Y.; Xu, C. J.
14
1993
Regularity for quasilinear second-order subelliptic equations. Zbl 0827.35023
Xu, Chao-Jiang
56
1992
Calcul de Weyl et opérateurs sous-elliptiques. (Weyl’s calculus and subelliptic operators). Zbl 0784.35127
Cancelier, C. E.; Chemin, J.-Y.; Xu, C. J.
1
1992
Subelliptic variational problems. Zbl 0717.49004
Xu, Chao-Jiang
33
1990
Smoothness up to the boundary for solutions of the nonlinear and nonelliptic Dirichlet problem. Zbl 0669.35019
Xu, C. J.; Zuily, C.
4
1988
Régularité des solutions pour les équations aux dérivées partielles quasi linéaires non elliptiques du second ordre. (Regularity of solutions of second order non elliptic quasilinear partial differential equations). Zbl 0587.35034
Xu, Chao-Jiang
4
1985
all top 5

Cited by 611 Authors

32 Yang, Tong
27 Morimoto, Yoshinori
26 Xu, Chao-Jiang
20 Chen, Hua
17 Dragomir, Sorin
17 Li, Weixi
13 Li, Haoguang
13 Ukai, Seiji
12 Alexandre, Radjesvarane
11 Liu, Cheng-Jie
10 Duan, Renjun
10 Zhang, Zhifei
9 He, Lingbing
9 Zhao, Huijiang
8 Bahouri, Hajer
8 Lanconelli, Ermanno
8 Pravda-Starov, Karel
8 Wang, Jialin
7 Chemin, Jean-Yves
7 Deng, Dingqun
7 Lei, Yuanjie
7 Niu, Pengcheng
7 Uguzzoni, Francesco
7 Wang, Ya-Guang
7 Wang, Yuxi
7 Xie, Feng
7 Xu, Chaojiang
7 Yin, Zhaoyang
7 Zhou, Yulong
6 Barletta, Elisabetta
6 Berhanu, Shiferaw
6 Citti, Giovanna
6 Ding, Shijin
6 Dong, Yuxin
6 Gallagher, Isabelle
6 Gérard-Varet, David
6 Iyer, Sameer
6 Manfredi, Juan J.
6 Masmoudi, Nader
6 Silvestre, Luis E.
6 Strain, Robert M.
6 Yao, Zhengan
5 Delgado, Julio
5 Desvillettes, Laurent
5 Domokos, András
5 Dong, Yan
5 Fermanian-Kammerer, Clotilde
5 Henderson, Christopher
5 Hérau, Frédéric
5 Imbert, Cyril
5 Lerner, Nicolas
5 Liu, Shuangqian
5 Ren, Yibin
5 Strani, Marta
5 Vicol, Vlad C.
5 Wang, Yaguang
5 Zeng, Huihui
5 Zhu, Shengguo
4 Bramanti, Marco
4 Capogna, Luca
4 Chaturvedi, Sanchit
4 Chen, Hongge
4 Du, Guangwei
4 Fan, Yingzhe
4 Franchi, Bruno
4 Guo, Yan
4 Liao, Dongni
4 Lin, Shi-You
4 Lin, Zhilin
4 Luo, Peng
4 Shkoller, Steve
4 Snelson, Stanley
4 Temam, Roger Meyer
4 Vigneron, François
4 Wang, Chao
4 Wang, Fei
4 Wang, Shuaikun
4 Xiao, Qinghua
4 Xiong, Linjie
4 Xu, Huiyang
4 Xu, Jiang
4 Zhu, Shiyong
3 Alonso, Ricardo J.
3 Assal, Miloud
3 Bedrossian, Jacob
3 Bonfiglioli, Andrea
3 Brandolini, Luca
3 Chen, Dongxiang
3 Chen, Jingchun
3 Collot, Charles
3 Coutand, Daniel
3 Deng, Shijin
3 Dong, Xiaolei
3 Du, Yi
3 Duan, Ben
3 Esposito, Francesco
3 Feng, Meiqiang
3 Fischer, Véronique
3 Gao, Jincheng
3 Garofalo, Nicola
...and 511 more Authors
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Cited in 147 Serials

58 Journal of Differential Equations
31 Archive for Rational Mechanics and Analysis
29 SIAM Journal on Mathematical Analysis
28 Journal of Mathematical Analysis and Applications
19 Journal of Functional Analysis
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Science China. Mathematics
13 Communications in Mathematical Physics
13 Advances in Mathematics
13 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Calculus of Variations and Partial Differential Equations
12 Transactions of the American Mathematical Society
12 The Journal of Geometric Analysis
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Journal of Mathematical Physics
10 Journal of Statistical Physics
9 Communications in Partial Differential Equations
9 Nonlinear Analysis. Real World Applications
9 Kinetic and Related Models
8 Acta Mathematica Scientia. Series B. (English Edition)
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Discrete and Continuous Dynamical Systems
7 Annals of PDE
6 Communications on Pure and Applied Mathematics
6 Journal of Mathematical Fluid Mechanics
6 Communications in Contemporary Mathematics
6 Analysis and Applications (Singapore)
6 Journal of Pseudo-Differential Operators and Applications
5 Revista Matemática Iberoamericana
4 Applicable Analysis
4 Manuscripta Mathematica
4 Proceedings of the American Mathematical Society
4 Acta Mathematica Sinica. English Series
4 Communications on Pure and Applied Analysis
4 Journal of the Institute of Mathematics of Jussieu
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Journal of Spectral Theory
4 Séminaire Laurent Schwartz. EDP et Applications
3 Journal d’Analyse Mathématique
3 Mathematical Methods in the Applied Sciences
3 Annales de l’Institut Fourier
3 Mathematische Annalen
3 Quarterly of Applied Mathematics
3 Acta Mathematicae Applicatae Sinica. English Series
3 Journal of the American Mathematical Society
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Partial Differential Equations
3 NoDEA. Nonlinear Differential Equations and Applications
3 Bulletin des Sciences Mathématiques
3 Journal of Inequalities and Applications
3 Journal of the European Mathematical Society (JEMS)
3 Boundary Value Problems
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Analysis and Mathematical Physics
3 Advances in Nonlinear Analysis
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Geometry and Physics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Bulletin de la Société Mathématique de France
2 Indiana University Mathematics Journal
2 Journal of Computational and Applied Mathematics
2 Mathematische Nachrichten
2 Siberian Mathematical Journal
2 Chinese Annals of Mathematics. Series B
2 Annals of Global Analysis and Geometry
2 Asymptotic Analysis
2 International Journal of Mathematics
2 Acta Mathematica Sinica. New Series
2 Electronic Research Announcements of the American Mathematical Society
2 Abstract and Applied Analysis
2 Annals of Mathematics. Second Series
2 Journal of Evolution Equations
2 Journal of Function Spaces and Applications
2 Complex Variables and Elliptic Equations
2 Complex Analysis and Operator Theory
2 Discrete and Continuous Dynamical Systems. Series S
2 Kyoto Journal of Mathematics
2 Journal de l’École Polytechnique – Mathématiques
2 Pure and Applied Analysis
2 Annales Henri Lebesgue
2 Electronic Research Archive
2 Communications in Mathematical Analysis and Applications
1 General Relativity and Gravitation
1 Houston Journal of Mathematics
1 Journal of Computational Physics
1 Nonlinearity
1 Studia Mathematica
1 The Annals of Probability
1 Annales Polonici Mathematici
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Rendiconti del Seminario Matematico della Università di Padova
...and 47 more Serials

Citations by Year