Preprints
1. Wei Bian (with X. Chen, C. T. Kelley), Anderson acceleration for a class of nonsmooth fixed-point problems, SIAM J. Sci. Comput., to appear.
2. HeMing Jiao (wiht J. Liu), On a class of Hessian type equations on Riemannian manifolds, Proc. Amer. Math. Soc., to appear.
3. Chunhui Liu, Control of the non-geometrically integral reductions, Int. J. Number Theory, to appear.
4. Chunhui Liu, Fibres non réduites d'un schéma arithmétique, Math. Z., to appear.
5. Chunhui Liu, Counting multiplicities in a hypersurface over finite field, Kyoto J. Math, to appear.
6. Xudong Lai, Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori, Comm. Math. Phys., to appear.
7. Zhenan Sui (with W. Sun), Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic Space, Int. 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 domain, Discrete Contin. Dyn. Syst. Ser. B, to appear.
9. Quanhua Xu (with M. Junge), Notes on real interpolation of operator Lp, Acta Math. Sci., to appear.
10. Zhi Yin (with J. Campbell), Finite free convolutions via Weingarten calculus, Random 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 problems, Israel J. Math., to appear.
13. Chao Zhang (with Y. Fang, V. D. Radulescu), Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent, Bull. Lond. Math. Soc., to appear.
14. Jingtao Zang (with Kathy Q. Ji), Unimodality of the Andrews-Garvan-Dyson cranks of partitions, Adv. Math., to appear.
Publication
1. Wei Bian (with X. Chen), A smoothing proximal gradient algorithm for nonsmooth convex regression with cardinality penalty, SIAM J. Numer. Anal., 58 (2020), 858-883.
2. Yan Cui, Estimation 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 strategy, J. 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 environment, J. 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 strategy, J. 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 generation, SIAM J. Appl. Math., 78 (2018), 1842-1862.
8. Jian Fang (with H. Berestycki), Forced waves of the Fisher-KPP equation in a shifting environment, J. Differential Equations,
264 (2018), 2157-2183.
9. Heming Jiao (with J. Chu), Curvature estimates for a class of Hessian type equations, Calc. 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 conditions, Discrete 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 operators, J. Geom. Anal., 31 (2021) , 2742-2765.
13. Xudong Lai, Maximal operator for the higher order Calderón commutator, Canad J. Math., 72 (2020), 1386-1422.
14. Xudong Lai, Multilinear estimates for Calder'on commutators, Int. Math. Res. Not. IMRN, 2020, 7097-7138.
15. Xudong Lai (with Y. Ding), A note on weak type (1,1) estimate for the higher order commutator of Christ-Journ'e type, Anal. 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 kernel, Canad. Math. Bull., 61 (2018), 97-113.
19. Xudong Lai (with Y. Ding), Weighted weak type (1,1) estimate for Christ-Journé type commutator, Sci. China Math., 61 (2018), 517-534.
20. Xudong Lai (with Y. Ding), L1-Dini condition and limiting behavior of weak type estimate for singular integrals, Rev. 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 retrieve, SIAM J. Appl. Dyn. Syst., 19 (2020), 1124-1159.
22. Zhuchun Li (with X. Zhao), Synchronization in Kuramoto oscillators for power grids with dynamic voltage, Nonlinearity, 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 graph, Math. 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 dampings, Nonlinearity, 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 ring, Netw. 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 equations, Sci. 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 equation, J. 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 equations, J. 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 fluxes, SIAM 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 equations, Math. 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 spaces, Nonlinear Analysis, 211 (2021), No. 112479.
34. Nikita Evseev (with А. Menovschikov), Sobolev space of functions valued in a monotone Banach family, J. Math. Anal. Appl., 492 (2020), No. 124440.
35. Zhenan Sui, Convex hypersurfaces with prescribed scalar curvature and asymptotic boundary in hyperbolic space, Calc. Var. Partial Differential Equations, 60 (2021), No. 45.
36. Zhenan Sui, Strictly locally convex hypersurfaces with prescribed curvature and boundary in space forms, Comm. Partial Differential Equations, 45 (2020), 253-283.
37. Guodong Wang (with D. Cao), Nonlinear stability of planar vortex patches in an ideal fluid, J. Math. Fluid Mech., 23 (2021), No. 58.
38. Guodong Wang (with D. Cao, B. Zuo), Existence of steady symmetric vortex patch in a disk, J. 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 disk, J. Differential Equations, 275 (2021), 509-532.
40. Guodong Wang, On 2D steady Euler flows with small vorticity near the boundary, J. Differential Equations, 270 (2021), 24-46.
41.Guodong Wang (with B. Zuo), On radial symmetry of rotating vortex patches in the disk, J. Math. Anal. Appl., 495 (2021), No. 124695.
42. Guodong Wang (with D. Cao), Existence of steady multiple vortex patches to the vortex-wave system, Pacific 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 domain, J. Math. Anal. Appl., 487 (2020), No. 124012.
44. Guodong Wang (with D. Cao), A note on steady vortex flows in two dimensions, Proc. 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 disc, Nonlinear 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 method, SIAM 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 equations, Comm. Math. Phys., 387 (2021), 179-214.
48. Zhituo Wang, Constructive Renormalization of the 2-dimensional Grosse-Wulkenhaar Model, Annales Henri Poincaré, 19 (2018), 2435-2490.
49. Quanhua Xu, Vector-valued Littlewood-Paley-Stein Theory for Semigroups II, Int. Math. Res. Not. IMRN, 21 (2020), 7769-7791.
50. Quanhua Xu (with N. Randrianantoanina, L. Wu), Noncommutative Davis type decompositions and applications, J. 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 channels, IEEE 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 dimensions, Sci. China Math., 60 (2017), 1419-1442.
53. Xiao Xiong (with E. McDonald, F. Sukochev),Quantum differentiability on noncommutative Euclidean spaces, Comm. Math. Phys., 379 (2020), 491-542.
54. Xiao Xiong (with E. McDonald, F. Sukochev), Quantum differentiability on quantum tori, Comm. Math. Phys., 371 (2019), 1231-1260.
55. Xiao Xiong (with R. Xia), Mapping properties of operator-valued pseudo-differential operators, J. Funct. Anal., 277 (2019), 2918-2980.
56. Xiao Xiong (with R. Xia), Operator-valued local Hardy spaces, J. Operator Theory, 277 (2019), 2918-2980.
57. Xiao Xiong, Quanhua Xu, Zhi Yin, Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori, Mem. Amer. Math. Soc., 252 (2018), No. 1203.
58. Zhi Yin (with X. Yan, L. Li), Quantum alpha-fdelity of unitary orbits, Quantum Inf.Process, 19 (2020), No. 307.
59. Zhi Yin (with X. Yan, L. Li), Approximation of quantum assemblages, Phys. Lett. A, 384 (2020), No. 126082.
60. Zhi Yin (with J. Gu, L. Li), Two simple causal inequalities with multi-settings, Internat. 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 states, J. 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 inequality, Phys. Rev. A, 95 (2017), No. 032101.
63. Chao Zhang (with Y. Fang), Gradient Holder regularity for parabolic normalized p(x,t)-Laplace equation, J. 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 equations, Calc. 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 data, Sci. 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 summands, Discrete 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 parts, Sci. China Math., 64 (2021), 869-886.
68. Jingtao Zang (with H. Xiong), Monotonicity properties for ranks of overpartitions, J. 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 forms, J. Math. Anal. Appl., 486 (2020), No. 123930.
70. Yichao Zhang (with Y.-J. Choie), Kernels for products of Hilbert L-functions, Math. Z., 295 (2020), 87-99.
71. Yichao Zhang, Half-integral weight modular forms and modular forms for Weil representations, Manuscripta Math., 163 (2020), 507-536.
72. Yichao Zhang (with K. Joshi), Eigenform product identities for Hilbert modular forms, Math. Z., 293 (2019), 1161-1179.
73. Yichao Zhang (with W. Kohnen), On sign changes of Fourier coefficients of modular forms, Res. Number Theory, 4 (2018), No. 1.