Publications
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Preprints

 

1Wei Bian (with X. Chen, C. T. Kelley), Anderson acceleration for a class of nonsmooth fixed-point problemsSIAM J. Sci. Comput., to appear.

2. HeMing Jiao (wiht J. Liu), On a class of Hessian type equations on Riemannian manifoldsProc. Amer. Math. Soc., to appear.

3. Chunhui LiuControl of the non-geometrically integral reductions, Int. J. Number Theory, to appear.

4. Chunhui LiuFibres non réduites d'un schéma arithmétiqueMath. Z., to appear. 

5. Chunhui LiuCounting multiplicities in a hypersurface over finite fieldKyoto J. Math, to appear.

6. Xudong LaiSharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum toriComm. Math. Phys., to appear.

7. Zhenan Sui (with W. Sun), Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic SpaceInt. Math. Res. Not. IMRN, to appear.

8. Guodong Wang (with B. Zuo), Energy equality for weak solutions to the 3D MHD equations in a bounded domainDiscrete Contin. Dyn. Syst. Ser. B, to appear.

9. Quanhua Xu (with M. Junge), Notes on real interpolation of operator LpActa Math. Sci., to appear.

10. Zhi Yin (with J. Campbell), Finite free convolutions via Weingarten calculusRandom Matrices Theory Appl., to appear. 

11. Jingtao Zang (with Z. Jiang), Gap between the largest and smallest parts of partitions and Berkovich and Uncu's conjectures, Ramanujan J., to appear.

12. Chao Zhang (with N. S. Papageorgiou), Multiple ground state solutions with sign information for double phase robin problemsIsrael J. Math., to appear.

13. Chao Zhang (with Y. Fang, V. D. Radulescu), Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponentBull. Lond. Math. Soc., to appear.

14. Jingtao Zang (with Kathy Q. Ji), Unimodality of the Andrews-Garvan-Dyson cranks of partitionsAdv. Math., to appear.

 

 

Publication

 

1. Wei Bian (with X. Chen), A smoothing proximal gradient algorithm for nonsmooth convex regression with cardinality penaltySIAM J. Numer. Anal., 58 (2020), 858-883.

2Yan CuiEstimation and inference of time-varying auto-covariance under complex trend: A difference-based approach, Electronic Journal of Statistics, 15 (2021), 4264-4294.

3. Jian Fang (with T. Aye and Y. Pan), On a population model in discrete periodic habitat. I. Spreading speed and optimal dispersal strategyJ. Differential Equations, 269 (2020), 9653-9679.

4. Jian Fang (with X. Lai and F. Wang), Spatial dynamics of a dengue transmission model in time-space periodic environmentJ. Differential Equations, 269 (2020), 149-175.

5. Jian Fang (with T. Aye and Y. Pan), On a population model in discrete periodic habitat. I. Spreading speed and optimal 

dispersal strategyJ. Differential Equations, 269 (2020), 9653-9679.

6. Jian Fang (with N. Sun), Delayed reaction-diffusion equation with free boundaries, Calc. Var. Partial Differential Equations, 58 (2019), No. 148.

7. Jian Fang (with Y. Pan and J. Wei), Seasonal influence on age-structured invasive species with yearly generationSIAM J. Appl. Math., 78 (2018), 1842-1862.

8. Jian Fang (with H. Berestycki), Forced waves of the Fisher-KPP equation in a shifting environmentJ. Differential Equations

264 (2018), 2157-2183.

9. Heming Jiao (with J. Chu), Curvature estimates for a class of Hessian type equationsCalc. Var. Partial Differential Equations

60 (2021), No. 90.

10. Qianqian Hou (with T. C. Lin and Z. Wang), On a singularly perturbed semi-linear problem with robin boundary conditionsDiscrete Contin. Dyn. Syst. Ser. B, 26 (2021), The special issue 20 years of DCDS-B''.

11. Qianqian Hou (with Z. Wang), Stability of boundary layers for the keller-segel system with singular sensitivity in the half-plane, J. Math. Pures Appl., 130 (2019), 251-287.

12. Xudong Lai (with G. Hu, Q. Xue), On the compositions of rough singular integral operatorsJ. Geom. Anal., 31 (2021) , 2742-2765.

13Xudong LaiMaximal operator for the higher order Calderón commutatorCanad J. Math., 72 (2020), 1386-1422. 

14. Xudong LaiMultilinear estimates for Calder'on commutators, Int. Math. Res. Not. IMRN, 2020, 7097-7138.

15Xudong Lai (with Y. Ding), A note on weak type (1,1) estimate for the higher order commutator of Christ-Journ'e typeAnal. Theory Appl., 35 (2019), 268-287.

16. Xudong Lai (with Y. Ding), Weak type (1,1) bound criterion for singular integral with rough kernel and its application

Trans. Amer. Math. Soc., 371 (2019), 1649-1675.

17. Xudong Lai (with Y. Ding), A note on the discrete Fourier restriction problem, Proc. Amer. Math. Soc., 146 (2018), 3839-3846.

18. Xudong Lai (with Y. Ding), On a singular integral of Christ-Journé type with homogeneous kernelCanad. Math. Bull., 61 (2018), 97-113.

19Xudong Lai (with Y. Ding), Weighted weak type (1,1) estimate for Christ-Journé type commutatorSci. China Math., 61 (2018), 517-534.

20. Xudong Lai (with Y. Ding), L1-Dini condition and limiting behavior of weak type estimate for singular integralsRev. Mat. Iberoam, 33 (2017), 1267-1284.

21. Zhuchun Li, XIAOPING XUE (with X. Zhao), Stability in a Hebbian network of Kuramoto oscillators with second-order couplings for binary pattern retrieveSIAM J. Appl. Dyn. Syst., 19 (2020), 1124-1159.

22. Zhuchun Li (with X. Zhao), Synchronization in Kuramoto oscillators for power grids with dynamic voltageNonlinearity, 33 (2020), 6624-6661.

23. Zhuchun Li (with S.-Y. Ha and X. Zhang), On the critical exponent of the one-dimensional Cucker-Smale model on a general graphMath. Models Methods Appl. Sci., 30 (2020), 1653-1703.

24. Zhuchun Li (with Y.-P. Choi), Synchronization of nonuniform Kuramoto oscillators for power grids with general connectivity and dampingsNonlinearity, 32 (2019), 559-583.

25. Zhuchun Li, XIAOPING XUE (with X. Zhao), Formation, stability and basin of phase-locking for Kuramoto oscillators bidirectionally coupled in a ringNetw. Heterog. Media, 15 (2018), 323-337.

26. Xiong Meng (with X. Liu, D. Zhang, B. Wu), Superconvergence of the local discontinuous Galerkin method for one dimensional nonlinear convection-diffusion equations, J. Sci. Comput., 87 (2021), No. 39.

27. Xiong Meng (with X. Liu, D. Zhang, B. Wu), Superconvergence of local discontinuous Galerkin methods with generalized alternating fluxes for 1D linear convection-diffusion equationsSci. China Math., 64 (2021), 1305-1320.

28. Xiong Meng (with Y. Xu, C. Shu, Q. Zhang),  Superconvergence analysis of the Runge-Kutta discontinuous Galerkin methods for a linear hyperbolic equationJ. Sci. Comput., 84 (2020), No. 23.

29. Xiong Meng (with M. Liu, B. Wu), Optimal error estimates of the discontinuous Galerkin method with upwind-biased fluxes for 2D linear variable coefficients hyperbolic equationsJ. Sci. Comput., 83 (2020),  No. 9.

30. Xiong Meng (with J. Li, D. Zhang, B. Wu, Q. Zhang), Discontinuous Galerkin methods for nonlinear scalar conservation laws: generalized local Lax-Friedrichs numerical fluxesSIAM J. Numer. Anal., 58 (2020), 1-20.

31. Xiong Meng (with J. Li, D. Zhang, B. Wu), Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equationsMath. Comp., 89 (2020), 2085-2111.

32. Xiong Meng (with J. Li, D. Zhang, B. Wu), Analysis of discontinuous Galerkin methods with upwind-biased fluxes for one dimensional linear hyperbolic equations with degenerate variable coefficients, J. Sci. Comput., 78 (2019), 1305-1328.

33. Nikita Evseev, Vector-valued Sobolev spaces based on Banach function spacesNonlinear Analysis, 211 (2021), No. 112479.

34. Nikita Evseev (with А. Menovschikov), Sobolev space of functions valued in a monotone Banach familyJ. Math. Anal. Appl., 492 (2020), No. 124440.

35. Zhenan SuiConvex hypersurfaces with prescribed scalar curvature and asymptotic boundary in hyperbolic spaceCalc. Var. Partial Differential Equations, 60 (2021), No. 45.   

36. Zhenan SuiStrictly locally convex hypersurfaces with prescribed curvature and boundary in space formsComm. Partial Differential Equations, 45 (2020), 253-283.  

37Guodong Wang (with D. Cao), Nonlinear stability of planar vortex patches in an ideal fluidJ. Math. Fluid Mech., 23 (2021), No. 58.

38. Guodong Wang (with D. Cao, B. Zuo), Existence of steady symmetric vortex patch in a diskJ. Math. Fluid Mech., 23 (2021), No. 20.

39. Guodong Wang (with D. Cao, J. Wan, W. Zhan), Rotating vortex patches for the planar euler equations in a diskJ. Differential Equations, 275 (2021), 509-532.

40. Guodong WangOn 2D steady Euler flows with small vorticity near the boundaryJ. Differential Equations, 270 (2021), 24-46. 

41.Guodong Wang (with B. Zuo), On radial symmetry of rotating vortex patches in the diskJ. Math. Anal. Appl., 495 (2021), No. 124695.

42. Guodong Wang (with D. Cao), Existence of steady multiple vortex patches to the vortex-wave systemPacific J. Math., 308 (2020), 257-279.

43. Guodong Wang (with B. Zuo), Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domainJ. Math. Anal. Appl., 487 (2020), No. 124012.

44. Guodong Wang (with D. Cao), A note on steady vortex flows in two dimensionsProc. Amer. Math. Soc., 148 (2020), 1153-1159.

45. Guodong Wang (with D. Cao, J. Wan), Steady vortex patch with polygonal symmetry for the planar Euler equations in a discNonlinear Anal. Real World Appl., 51 (2020), No. 103008.

46. Guodong Wang (with D. Cao, W. Zhan), Desingularization of vortices for two-dimensional steady Euler flows via the vorticity methodSIAM J. Math. Anal., 52 (2020), 5363-5388.

47. Liming Wu, Chaoen Zhang (with W. Liu), Long-time behaviors of mean-field interacting particle systems related to McKean-Vlasov equationsComm. Math. Phys., 387 (2021), 179-214.

48. Zhituo WangConstructive Renormalization of the 2-dimensional Grosse-Wulkenhaar ModelAnnales Henri Poincaré, 19 (2018), 2435-2490.

49. Quanhua XuVector-valued Littlewood-Paley-Stein Theory for Semigroups IIInt. Math. Res. Not. IMRN, 21 (2020), 7769-7791.

50. Quanhua Xu (with N. Randrianantoanina, L. Wu), Noncommutative Davis type decompositions and applicationsJ. Lond. Math. Soc.(2), 99 (2019), 97-126.

51. Quanhua Xu (with N. Yu, R. Duan), Bounds on the distance between a unital quantum channel and the convex hull of unitary channelsIEEE Trans. Inform. Theory, 63 (2017), 1299-1310.

52. Quanhua Xu (with T. Ma, J. L. Torrea), Weighted variation inequalities for differential operators and singular integrals in higher       dimensionsSci. China Math., 60 (2017), 1419-1442.

53. Xiao Xiong (with E. McDonald, F. Sukochev),Quantum differentiability on noncommutative Euclidean spacesComm. Math. Phys., 379 (2020), 491-542.

54. Xiao Xiong (with E. McDonald, F. Sukochev), Quantum differentiability on quantum toriComm. Math. Phys., 371 (2019), 1231-1260.

55. Xiao Xiong (with R. Xia), Mapping properties of operator-valued pseudo-differential operatorsJ. Funct. Anal., 277 (2019), 2918-2980.

56. Xiao Xiong (with R. Xia), Operator-valued local Hardy spacesJ. Operator Theory, 277 (2019), 2918-2980.

57. Xiao XiongQuanhua XuZhi YinSobolev, Besov and Triebel-Lizorkin spaces on quantum toriMem. Amer. Math. Soc., 252 (2018), No. 1203.

58. Zhi Yin (with X. Yan, L. Li), Quantum alpha-fdelity of unitary orbitsQuantum Inf.Process, 19 (2020), No. 307. 

59. Zhi Yin (with X. Yan, L. Li), Approximation of quantum assemblagesPhys. Lett. A, 384 (2020), No. 126082.

60. Zhi Yin  (with J. Gu, L. Li), Two simple causal inequalities with multi-settingsInternat. J. Theoret. Phys., 59 (2020), 97-107.

61. Zhi Yin (with B. Collins, P. Zhong), The PPT square conjecture holds generically for some classes of independent statesJ. Phys. A: Math. Theor., 51 (2018), No. 425301.

62. Zhi Yin (with A. W. Harrow, M. Horodecki, M. Marcinniak,  A. Rutkowski), Random and free observables saturate the Tsirelson bound for CHSH inequalityPhys. Rev. A, 95 (2017), No. 032101.

63. Chao Zhang (with Y. Fang), Gradient Holder regularity for parabolic normalized p(x,t)-Laplace equationJ. Differential Equations, 295 (2021), 211-232.

64. Chao Zhang (with M. Ding, S. Zhou), Local boundedness and Holder continuity for the parabolic fractional p-Laplace equationsCalc. Var. Partial Differential Equations, 60 (2021), No. 38.

65. Chao Zhang (with F. Yao, S. Zhou), Gradient estimates for a class of quasilinear elliptic equations with measure dataSci. China Math., 62 (2019), 1719-1730.

66. Jingtao Zang (with Robert X.J. Hao, Erin Y.Y. Shen), A rank of partitions with overline designated summandsDiscrete Math., 344 (2021), No. 112556.

67. Jingtao Zang (with H. Xiong), On the polynomiality and asymptotics of moments of sizes for random (n,dn±1)-core partitions with distinct partsSci. China Math., 64 (2021), 869-886.

68. Jingtao Zang (with H. Xiong), Monotonicity properties for ranks of overpartitionsJ. Number Theory, 209 (2020), 330-346.

69. Yichao Zhang (with Y.-J. Choie and W. Kohnen), Simultaneous nonvanishing of products of L-functions associated to elliptic cusp formsJ. Math. Anal. Appl., 486 (2020), No. 123930.

70. Yichao Zhang (with Y.-J. Choie), Kernels for products of Hilbert L-functionsMath. Z., 295 (2020), 87-99.

71. Yichao ZhangHalf-integral weight modular forms and modular forms for Weil representationsManuscripta Math., 163 (2020), 507-536.

72. Yichao Zhang (with K. Joshi), Eigenform product identities for Hilbert modular formsMath. Z., 293 (2019), 1161-1179.

73. Yichao Zhang (with W. Kohnen), On sign changes of Fourier coefficients of modular formsRes. Number Theory, 4 (2018), No. 1.