张超 - 哈尔滨工业大学

个人简介

张超，男，哈尔滨工业大学数学学院和数学研究院教授、博士生导师。本科和硕士毕业于吉林大学，博士毕业于北京大学。主要从事函数空间理论、非线性椭圆和抛物型偏微分方程的适定性和正则性等方面的研究，在Math. Ann., J. Func. Anal., Calc. Var. Partial Differential Equations, Indiana Univ. Math. J., Israel J. Math., Int. Math. Res. Not. IMRN, J. Differential Equations, J. Geom. Anal.和Bull. Lond. Math. Soc.等权威期刊发表论文40余篇。目前担任黑龙江省数学会秘书长，国际SCI期刊《Advances in Nonlinear Analysis》编委。曾获教育部首届博士研究生学术新人奖（2010），北京大学优秀博士学位论文（2011），黑龙江省数学会第二届优秀青年学术奖（2018），哈尔滨工业大学优秀博士学位论文指导教师（2022），哈尔滨工业大学第六批青年科学家工作室学术带头人（2022）。工作经历 2011.07-2013.12 讲师哈尔滨工业大学数学系 2013.12-2018.12 副教授（青年拔尖）哈尔滨工业大学数学系 2018.12-至今教授（准聘）哈尔滨工业大学数学学院教育经历 2001.09-2005.07 计算数学吉林大学本科 2005.09-2007.07 应用数学吉林大学硕士 2007.09-2011.07 基础数学北京大学博士 2009.09-2010.09 基础数学 University of Iowa 联合培养博士

研究领域

非线性椭圆和抛物型偏微分方程及其应用解的适定性，如弱解、非常弱解、熵解和重整化解等非线性椭圆和抛物型方程的正则性，包括Holder正则性，Harnack不等式和Calderon-Zygmund估计等函数空间理论泛函分析在偏微分方程中的应用

近期论文

查看导师最新文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

Chao Zhang (with Bin Shang), Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations, J. Differential Equations, 378 (2024) 792-822. Chao Zhang (with Weili Meng), Asymptotic mean value properties for the elliptic and parabolic double phase equations, NoDEA Nonlinear Differential Equations Appl., https://doi.org/10.1007/s00030-023-00884-6 Chao Zhang (with Yuzhou Fang; Vicentiu Radulescu), Equivalence of weak and viscosity solutions for the nonhomogeneous double phase equation, Math. Ann., https://doi.org/10.1007/s00208-023-02593-y Chao Zhang (with Bin Shang), Harnack inequality for mixed local and nonlocal parabolic p-Laplace equations, J. Geom. Anal., (2023) 33:124. Chao Zhang (with Yuzhou Fang), Regularity for quasi-linear parabolic equations with nonhomogeneous degeneracy or singularity, Calc. Var. Partial Differential Equations, (2023) 62:2, 46 pp. Chao Zhang (with Nikolaos S. Papageorgiou), Multiple ground state solutions with sign information for double phase robin problems, Israel J. Math., https://doi.org/10.1007/s11856-022-2370-y Chao Zhang (with Bin Shang), Holder regularity for mixed local and nonlocal p-Laplace parabolic equations, Discrete Contin. Dyn. Syst., 42 (12) (2022) 5817-5837. Chao Zhang (with Bin Shang), A strong maximum principle for mixed local and nonlocal p-Laplace equations, Asymptotic Analysis, to appear. Chao Zhang (with Yuzhou Fang), Harnack inequality for the nonlocal equations with general growth, Proc. Roy. Soc. Edinburgh Sect. A, https://doi.org/10.1017/prm.2022.55 Chao Zhang (with Yuzhou Fang), Equivalence between distributional and viscosity solutions for the double-phase equation, Adv. Calc. Var., 15 (4) (2022) 811-929, https://doi.org/10.1515/acv-2020-0059 Chao Zhang (with Ky Ho; Yun-Ho Kim; Patrick Winkert), The boundedness and Holder continuity of weak solutions to elliptic equations involving variable exponents and critical growth, J. Differential Equations, 313 (2022) 503-532. Chao Zhang (with Yuzhou Fang), On weak and viscosity solutions of nonlocal double phase equations, Int. Math. Res. Not. IMRN, https://doi.org/10.1093/imrn/rnab351 Chao Zhang (with Yuzhou Fang; Bin Shang), Regularity theory for mixed local and nonlocal parabolic p-Laplace equations, J. Geom. Anal., (2022) 32:22, 33pp. Chao Zhang (with Yuzhou Fang; Vicentiu Radulescu), Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent, Bull. Lond. Math. Soc., 53 (2021) 1863-1878, https://doi.org/10.1112/blms.12550 Chao Zhang (with Yuzhou Fang), Holder regularity for parabolic normalized p(x,t)-Laplace equation, J. Differential Equations, 295 (2021) 211-232. Chao Zhang (with Mengyao Ding; Shulin Zhou), Local boundedness and Holder continuity for the parabolic fractional p-Laplace equations, Calc. Var. Partial Differential Equations, (2021) 60:38, https://doi.org/10.1007/s00526-020-01870-x Chao Zhang (with Yuzhou Fang; Vicentiu Radulescu; Xia Zhang), Gradient estimates for multi-phase problems in Campanato spaces, Indiana Univ. Math. J., 71 (3) (2022) 1079-1099. Chao Zhang (with Xia Zhang), Some further results on the nonlocal p-Laplacian type problems, Proc. Roy. Soc. Edinburgh Sect. A,151 (3) (2021) 953-970. Chao Zhang (with Nikolaos S. Papageorgiou), Singular and superlinear perturbations of the eigenvalue problem for the Dirichlet p-Laplacian, Results Math., (2021) 76:28. Chao Zhang (with Kaimin Teng; Shulin Zhou), Renormalized and entropy solutions for the fractional p-Laplacian evolution equations, J. Evol. Equ., 19 (2) (2019) 559-584. Chao Zhang, Estimates for parabolic equations with measure data in generalized Morrey spaces, Commun. Contemp. Math., 21 (5) (2019), 1850044. Chao Zhang (with Nikolaos S. Papageorgiou), Double phase problem with critical and locally defined reaction terms, Asymptot. Anal., 116 (2020) 73-92. Chao Zhang (with Nikolaos S. Papageorgiou), Noncoercive resonant (p,2)-equations with concave terms, Adv. Nonlinear Anal., 9 (1) (2020) 228-249. Chao Zhang, Global weighted estimates for the nonlinear parabolic equations with nonstandard growth, Calc. Var. Partial Differential Equations, (2016) 55:109. Chao Zhang (with Shulin Zhou), Global weighted estimates for quasilinear elliptic equations with non-standard growth, J. Funct. Anal., 267 (2014) 605-642. Chao Zhang (with Shulin Zhou), Renormalized and entropy solutions for nonlinear parabolic equations with variable exponents and L1 data, J. Differential Equations, 248 (2010) 1376-1400. Chao Zhang (with Shulin Zhou), The well-posedness of renormalized solutions for a non-uniformly parabolic equation, Proc. Amer. Math. Soc., 145 (2017) 2577-2589. Chao Zhang (with Xia Zhang; Shulin Zhou), Gradient estimates for the strong p(x)-Laplacian equation, Discrete Contin. Dyn. Syst., 37 (2017) 4109-4129. Chao Zhang (with Shulin Zhou), On a class of non-uniformly elliptic equations, NoDEA Nonlinear Differential Equations and Appl., 19 (2012) 345-363. Chao Zhang (with Shulin Zhou), Entropy solutions for a non-uniformly parabolic equation, Manuscripta Math., 131 (2010) 335-354. Chao Zhang (with Yun-Ho Kim; Lihe Wang; Shulin Zhou), Global gradient estimates for p(x)-Laplace equation in non-smooth domains, Commun. Pure Appl. Anal., 13 (2014) 2559-2587. Chao Zhang (with Fengping Yao; Shulin Zhou), Gradient estimates for a class of quasilinear elliptic equations with measure data, Sci. China Math., 62 (9) (2019) 1719-1730.

学术兼职

国际SCI期刊《Advances in Nonlinear Analysis》编委美国数学评论《Math Review》评论员黑龙江省数学会：秘书长、常务理事、党支部书记