北京交通大學應用數學研究生導師介紹：鄭神州

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基本信息
辦公電話：010-51682054-118電子郵件：shzhzheng@bjtu.edu.cn
通訊地址：北京交通大學理學院郵編：100044

教育背景與工作經歷
教育經歷：

1994/09-1997/07復旦大學數學研究所,博士研究生；
1991/09-1994/07北京師范大學數學系,碩士研究生；
研究工作經歷:

2013/07-2013/08南開大學陳省身數學研究所,訪問教授;
2011/09-012/09美國肯塔基大學,芝加哥大學,普渡大學,德克薩斯大學-Arlington分校訪問學者;
2008/02-2008/05美國UniversityofTexas-PanAmerican,訪問教授;
2007/09-2007/10南開大學陳省身數學研究所,訪問教授;
2005/10-現在北京交通大學理學院教授
2002/08-2002/12中國科學院系統科學研究所,訪問學者;
2001/02-2001/06中國科學院應用數學研究所,訪問學者;
2000/07-2005/10北京交通大學理學院副教授；
1997/07-2000/10北京交通大學理學院講師
研究方向（順序不分先后）
微分方程理論與應用
非線性系統理論與應用
招生專業
應用數學碩士
應用數學博士
系統理論碩士
科研項目
北京交通大學：高速列車車體結構動力模型研究與應用,2015-08-01--2016-10-31,主持
國家自然科學基金“面上”：拋物和橢圓型方程和方程組的若干問題，2014-01-01--2017-12-31,主持
國家自然科學基金“面上”：具間斷系數非線性退化橢圓問題的正則性研究，2011-01-01--2013-12-31，主持
北京交通大學：北京市軌道交通設施養護質量考評量化指標體系研究，2010-07-20--2010-12-31,參加
北京交通大學：城市軌道交通系統測試分析，2009-12-21--2010-03-31，參加
北京交通大學：井間三分量地震波場反演，2007-07-01--2009-06-30，參加
國家自然科學基金“面上”：與平均曲率有關的非線性橢圓方程，2007-01-01--2009-12-31,參加
校科技基金：邊值問題在彈性界面銜接和裂紋問題上的應用，2004-12-01--2006-12-01，主持
校科技基金：形變的數學理論及在工程力學中的應用，2002-11-01--2004-11-12，主持
教育部：面向MIS的預測分析構件的研究與開發，2002-01-01--2003-01-01，參加

教學工作
講授本科課程：高等數學、線性代數、幾何代數、空間解析幾何、復變函數與積分變換、數理方程(復旦版)、偏微分方程(周蜀林主編)、概率論和數理統計、計算方法、運籌學等幾乎所有本科課程.

研究生課程：偏微分方程現代理論、Sobolev空間、橢圓偏微分方程、拋物性偏微分方程、數學物理、數值分析、數理統計、場論、特殊函數等課程.

輔導北京市高等數學競賽，大學生數學建模競賽，發表教學論文多篇.

學術成果
期刊論文

在國內、外著名刊物:TransactionsofAmer.Math.Soc.,JournalofFunctionalAnalysis,JournalofDifferentialEquations,DiscreteConti.Dyn.Syst.A/B,NonlinearAnalysis,DynamicsofPart.Diff.Equ.,Elect.JournalDifferentialEquations,IMAJ.AppliedMath.,Z.angew.Math.Phys.,J.Math.Anal.Appl.,Diff.andIntegralEqu.,BoundaryValueProblems,Comm.PureAppl.Anal.,JournalofInequalitiesandApplications,JournalofAppliedMathematics,ActaMath.Sinica,ChineseAnn.Math.,ActaMath.Appl.Sinica,ActaMath.Scienta等發表了80余篇論文,這些成果被國內外同行廣泛參考和引用。部分被美國數學會MathematicalReview論文有：

1.HaiyanYu,ShenzhouZheng,BMOestimatetoA-harmonicsystemswithdiscontinuouscoefficients,NonlinearAnalysisRealWorldApplications05/2015;26:64-74.DOI:10.1016/j.nonrwa.2015.05.003

2.JinjieZhang,ShenzhouZheng,OnrefinedHardy-KnopptypeinequalitiesinOrliczspacesandsomerelatedresults,JournalofInequalitiesandApplications05/2015;2015(169).DOI:10.1186/s13660-015-0686-4

3.ShenzhouZheng,AstrongconvergenceoftheweakgradienttoA-harmonictypeoperatorswith$L^1$data,JournalofMathematicalAnalysisandApplications05/2015;430:381-389.DOI:10.1016/j.jmaa.2015.05.001

4.ShenzhouZheng,ALocalHolderEstimateof(K1;K2)-QuasiconformalMappingsbetweenHypersurfaces,ActaMathematicaSinica05/2015;31.DOI:10.1007/s10114-015-3519-y

5.HaiyanYu,ShenzhouZheng,OPTIMALPARTIALREGULARITYFORQUASILINEARELLIPTICSYSTEMSWITHVMOCOEFFICIENTSBASEDONA-HARMONICAPPROXIMATIONS,ElectronicJournalofDifferentialEquations01/2015;2015(16):1-12.

6.MR3306346PendingZheng,Shenzhou;Feng,ZhaoshengRegularityofsubellipticp-harmonicsystemswithsubcriticalgrowthinCarnotgroup.J.DifferentialEquations258(2015),no.7,2471–2494.35R03(35B6535D3035H2035J92)

7.MR3305772ReviewedWang,Jie;Yu,HaiYan;Zheng,ShenZhouInteriorHölderestimatetosemilinearsubellipticequationsunderthenaturalgrowth.(Chinese)ActaMath.Sci.Ser.AChin.Ed.34(2014),no.6,1397–1407.35H20(35B4535B6535J61)

8.MR3240616ReviewedTong,Yuxia;Zheng,Shenzhou;Gu,JiantaoHigherintegrabilityforveryweaksolutionsofinhomogeneousA-harmonicformequations.J.Appl.Math.2014,Art.ID308751,9pp.35J62(35B6535D30)

9.MR3212488PendingTong,Yuxia;Gu,Jiantao;Zheng,ShenzhouZerosforthegradientsofweaklyA-harmonictensors.J.Appl.Math.2014,Art.ID231248,5pp.58A14

10.MR3157104PendingRao,JieSheng;Zheng,ShenZhouSelf-improvingregularityofweaklyquasiregularmappingsinHeisenberggroups.(Chinese)ChineseAnn.Math.Ser.A34(2013),no.5,579–588.30C65(35R03)

11.MR3091751ReviewedZheng,ShenzhouEnergyquantizationforapproximateH-surfacesandapplications.Electron.J.DifferentialEquations2013,No.177,13pp.(Reviewer:YisongYang)58E15(35J4735J5035K4035K51)

12.MR2975138ReviewedWang,Changyou;Zheng,ShenzhouEnergyidentityforaclassofapproximatebiharmonicmapsintosphereindimensionfour.DiscreteContin.Dyn.Syst.33(2013),no.2,861–878.(Reviewer:LuisFernandez)58E20(35J4835J62)

13.MR3029825ReviewedZheng,ShenZhouRegularityofaclassofdegenerateellipticequationswithdiscontinuouscoefficientsundercontrollablegrowth.(Chinese)J.SystemsSci.Math.Sci.32(2012),no.5,549–561.35J70(35B6535D3035J92)

14.MR3026660ReviewedZheng,ShenZhou;Lu,HanFangLiouvilletheoremsonsubellipticquasilinearequationsinunboundedexteriordomain.(Chinese)ActaMath.Sci.Ser.AChin.Ed.32(2012),no.4,644–653.35H20(35B53)

15.MR3001676ReviewedZheng,ShenzhouWeakcompactnessofbiharmonicmaps.Electron.J.DifferentialEquations2012,No.190,7pp.58J05(35K4058E20)

16.MR2948882ReviewedFeng,Zhaosheng;Tian,Jing;Zheng,Shenzhou;Lu,HanfangTravellingwavesolutionsoftheBurgers-Huxleyequation.IMAJ.Appl.Math.77(2012),no.3,316–325.35Q53(35C07)

17.MR2927401ReviewedWang,Changyou;Zheng,ShenzhouEnergyidentityofapproximatebiharmonicmapstoRiemannianmanifoldsanditsapplication.J.Funct.Anal.263(2012),no.4,960–987.(Reviewer:AndreasGastel)58E20(35J5053C43)

18.MR2901227ReviewedZheng,Shenzhou;Feng,ZhaoshengGreenfunctionsforaclassofnonlineardegenerateoperatorswithX-ellipticity.Trans.Amer.Math.Soc.364(2012),no.7,3627–3655.(Reviewer:AndrásDomokos)35H20(35A0835B4535B5035J70)

19.MR2840215ReviewedGao,Hong-Ya;Zheng,Shen-Zhou;Yue,Ying-QiangBeltramisystemwithtwocharacteristicmatricesandvariablecoefficients.Boundaryvalueproblems,integralequationsandrelatedproblems,170–178,WorldSci.Publ.,Hackensack,NJ,2011.30C65(30C6235J2035J62)

20.MR2806285ReviewedZheng,Shenzhou;Zheng,Xueliang;Feng,ZhaoshengOptimalregularityforA-harmonictypeequationsunderthenaturalgrowth.DiscreteContin.Dyn.Syst.Ser.B16(2011),no.2,669–685.(Reviewer:AlkisTersenov)35J60(35B6535D3035J6235J70)

21.MR2639776IndexedWang,ChunHua;Zheng,ShenZhouLp,λ-regularityforaclassofdegenerateellipticequationswithdiscontinuouscoefficients.(Chinese)J.SystemsSci.Math.Sci.30(2010),no.2,157–172.35J60

22.MR2722767IndexedZheng,ShenZhou;Lu,HanFangAnapplicationoftheGreenfunctiontotheinteriorHöldercontinuityofweaksolutionstoX-ellipticequations.(Chinese)ChineseAnn.Math.Ser.A31(2010),no.3,295–304.35B65(35D30)

23.MR2664842IndexedZheng,ShenZhou;Wang,XiFenRegularityofveryweaksolutionsforaclassofquasilinearsubellipticequations.(Chinese)ActaMath.Sci.Ser.AChin.Ed.30(2010),no.2,432–439.35Q62(35B65)

24.MR2588692ReviewedLu,HanFang;Zheng,ShenZhouTheGreenfunctionmethodfortheHöldercontinuityofellipticequationsindivergenceform.(Chinese)ActaMath.Sci.Ser.AChin.Ed.29(2009),no.5,1160–1166.35J62(35B65)

25.MR2520610ReviewedFeng,Zhaosheng;Zheng,Shenzhou;Gao,DavidY.Travelingwavesolutionstoareaction-diffusionequation.Z.Angew.Math.Phys.60(2009),no.4,756–773.35K57

26.MR2525575ReviewedWang,Yuandi;Zheng,ShengzhouTheexistenceandbehaviorofsolutionsfornonlocalboundaryproblems.Bound.ValueProbl.2009,Art.ID484879,17pp.35K59

27.MR2479689ReviewedFeng,Zhaosheng;Zheng,Shenzhou;Lu,HanfangGreen'sfunctionofnon-lineardegenerateellipticoperatorsanditsapplicationtoregularity.DifferentialIntegralEquations21(2008),no.7-8,717–741.(Reviewer:YannickSire)35J62(35A0835B6535J7035J92)

28.MR2468702IndexedZheng,ShenZhou;Zhang,LaPingEverywhereinteriorregularityforp-harmonicformsystemswiththesubcriticalgrowth.(Chinese)ActaMath.Sinica(Chin.Ser.)51(2008),no.5,1001–1014.35J60(35B6535J25)

29.MR2453071ReviewedZheng,ShenZhouRegularityforquasi-lineardegenerateellipticequationswithVMOcoefficients.ActaMath.Sin.(Engl.Ser.)24(2008),no.11,1909–1924.(Reviewer:FilomenaFeo)35J70(35B6535D1035J60)

30.MR2454011ReviewedZheng,XueLiang;Zheng,ShenZhouSharpHölderexponentsfornonlineardegenerateellipticequationswithnaturalgrowth.(Chinese)ActaMath.Sinica(Chin.Ser.)51(2008),no.4,735–748.35J60(35Dxx35J70)

31.MR2436888ReviewedZheng,ShenZhou;Zhao,ShuLeFullregularityof$p$-harmonictypesystemsbelowthecriticalgrowth.(Chinese)ActaMath.Sci.Ser.AChin.Ed.28(2008),no.3,480–488.35J70(35D10

32.MR2431532ReviewedZheng,Shenzhou;Zheng,Xueliang;Feng,ZhaoshengRegularityforaclassofdegenerateellipticequationswithdiscontinuouscoefficientsundernaturalgrowth.J.Math.Anal.Appl.346(2008),no.2,359–373.(Reviewer:PierreDreyfuss)35J70(35B6535J62)

33.MR2397307ReviewedZheng,S.;Feng,Z.Regularityforquasi-linearellipticsystemswithdiscontinuouscoefficients.Dyn.PartialDiffer.Equ.5(2008),no.1,87–99.(Reviewer:BarbaraBrandolini)35J55(35B6535J60)

34.MR2397284ReviewedZheng,ShenZhouPartialregularityforquasi-linearellipticsystemswithVMOcoefficientsunderthenaturalgrowth.(Chinese)ChineseAnn.Math.Ser.A29(2008),no.1,49--58;translationinChineseJ.Contemp.Math.29(2008),no.1,55–6435J55(35B6535D1035J60)

35.MR2358357ReviewedZheng,Shenzhou;Zhang,Laping;Feng,ZhaoshengEverywhereregularityfor$p$-harmonictypesystemsunderthesubcriticalgrowth.Commun.PureAppl.Anal.7(2008),no.1,107–117.35J60

36.MR2305791ReviewedZhao,ShuLe;Zheng,ShenZhou$L^{2,\lambda}$-regularityforaquasilinearellipticequationwithVMOcoefficients.(Chinese)ActaMath.Sinica(Chin.Ser.)50(2007),no.1,17–24.35J60(35B65)

37.MR2262435ReviewedZheng,ShenZhou;Zhao,ShuLeRegularityfor$p$-harmonictypesystemswiththegradientsbelowthecontrollablegrowth.ActaMath.Sin.(Engl.Ser.)22(2006),no.6,1757–1766.(Reviewer:EugenViszus)35J60(35B6535D10)

38.MR2202900IndexedZheng,XueLiang;Zheng,ShenZhouAnotherproofoftheLehtinentheorem.(Chinese)J.ShanghaiJiaotongUniv.(Chin.Ed.)39(2005),no.10,1737–1740.30C62

39.MR2153761ReviewedZheng,Shenzhou;Kang,XiuyingThecomparisonofGreenfunctionforquasi-linearellipticequation.ActaMath.Sci.Ser.BEngl.Ed.25(2005),no.3,470–480.35J60(35A0835B45)

40.MR2119096ReviewedZheng,ShenZhouTheregularityofweaklyquasiregularmappingsin$\BbbR^n$.(Chinese)ChineseAnn.Math.Ser.A25(2004),no.6,799–804.30C65

41.MR2072189ReviewedZheng,ShenZhouRegularityresultsforthegeneralizedBeltramisystem.ActaMath.Sin.(Engl.Ser.)20(2004),no.2,293–304.(Reviewer:M.Yu.Vasilʹchik)30C65(35D10)

42.MR2052710ReviewedZheng,Shen-zhouRemovablesingularitiesofsolutionsof$A$-harmonictypeequations.ActaMath.Appl.Sin.Engl.Ser.20(2004),no.1,115–122.(Reviewer:NikolaiTarkhanov)35J60(35B60)

43.MR1864912ReviewedZheng,XueLiang;Zheng,ShenZhouRiemann-HilbertproblemforN-analyticfunctions.(Chinese)J.Math.Study34(2001),no.3,292–297.30E25(30G30)

44.MR1807284ReviewedZheng,ShenZhou;Zheng,XueLiangBianalyticfunctions,biharmonicfunctionsandelasticproblemsintheplane.Appl.Math.Mech.(EnglishEd.)21(2000),no.8,885–892;translatedfromAppl.Math.Mech.21(2000),no.8,797--802(Chinese)(Reviewer:VladimirMityushev)74G05(30G2035Q7274B05)

45.MR1695165ReviewedZheng,ShenZhou;Fang,AiNongRegularityofveryweaksolutionsforaclassofnonlinearellipticsystems.(Chinese)ActaMath.Sinica(Chin.Ser.)42(1999),no.1,119–124.(Reviewer:JianfuYang)35J60(35D10)

46.MR1712914ReviewedZheng,ShenzhouLp-integrabilityforp-quasiconformalhomeomorphisms.J.ShanghaiJiaotongUniv.(Engl.Ed.)3(1998),no.1,10–13.30C65

47.MR1704917ReviewedZheng,Shenzhou;Fang,AinongRegularityofveryweaksolutionsforaclassofnonlinearellipticsystems.ActaMath.Sinica(N.S.)14(1998),suppl.,733–740.35J60(35D10)

48.MR1696798ReviewedZheng,ShenZhou;Fang,AiNongDegeneratequasiregularmappings.(Chinese)ChineseAnn.Math.Ser.A19(1998),no.6,741–748.(Reviewer:YunPingJiang)30C65

49.MR1681791ReviewedZheng,ShenZhou;Fang,AiNongLp-integrabilityof(K1,K2)-quasiregularmappings.(Chinese)ActaMath.Sinica(Chin.Ser.)41(1998),no.5,1019–1024.46E35(30C6535J4535J60)

50.MR1633851IndexedZheng,ShenZhou(H,G)-transformationsandquasiregularsemigroups.(Chinese)J.ShanghaiJiaotongUniv.(Chin.Ed.)32(1998),no.3,116–119.20M20

51.MR1613673ReviewedZheng,ShenZhouPartialregularityofA-harmonicsystemsofequationsandquasiregularmappings.(Chinese)ChineseAnn.Math.Ser.A19(1998),no.1,63--72;translationinChineseJ.Contemp.Math.19(1998),no.1,19–30(Reviewer:GuoChunWen)35J45(30C6235B60)

52.MR1713752ReviewedZheng,ShenzhouOnveryweaksolutionsofnonlinearellipticsystems.J.ShanghaiJiaotongUniv.(Engl.Ed.)2(1997),no.2,6–11.35J60(35D10)

53.MR1612623ReviewedZheng,ShenZhouBeltramisystemswithdoublecharacteristicmatricesandquasiregularmappings.(Chinese)ActaMath.Sinica(Chin.Ser.)40(1997),no.5,745–750.(Reviewer:GuoChunWen)35J45(30C6535F9935J60)

54.MR1489126ReviewedZheng,XueLiang;Zheng,ShenZhouNoetherresolvabilityofsystemsofsingularintegralequationswithconjugateterms.(Chinese)J.ChangshaUniv.Electr.PowerNat.Sci.Ed.12(1997),no.3,251–256.(Reviewer:ShengGong)45E05(47A5347G10)

55.MR1451032ReviewedNai,Bing;Zheng,ShenZhouDisplacementfunctionsandJørgensen'sinequalityinhigher-dimensionalspaces.(Chinese)J.ShanghaiJiaotongUniv.(Chin.Ed.)31(1997),no.2,16–19.30F40

56.MR1451031IndexedZheng,ShenZhou;Nai,BingTheHöldercontinuityof(K,K′)quasiconformalmappingsonRn.(Chinese)J.ShanghaiJiaotongUniv.(Chin.Ed.)31(1997),no.2,13–15.30C65

57.MR1410647ReviewedZheng,ShenZhouThetheoryofNoethersolvabilityofsystemsofsingularintegralequationswithshiftsandcomplexconjugatevalues.(Chinese)J.ShanghaiJiaotongUniv.30(1996),suppl.,138–148.(Reviewer:ShusenDing)45E05(47A5347G10)

58.MR1385853ReviewedZheng,ShenZhouNoethersolvabilityandregularizationofsystemsofsingularintegralequationswithshifts.(Chinese)J.ShanghaiJiaotongUniv.29(1995),no.5,129–135.47G10(45E1047A53)

多次得到國外知名大學和國際會議邀請報告:

1.GreenfunctionsofaclassofdegenerateoperatorswithX-ellipticity.UniversityofTexasPan-American,Texas,USA,May,2008：

2.Remarksonapproximatebiharmonicmapstomanifold.UniversityofKentucky,USA,March,2012;

3.Energyidentityofapproximatebiharmonicmapsandapplication.UniversityofTexasPan-American，USA，April,2012;

4.Energyquantizationforbiharmonicmapstosphere.9thAIMSConferenceonDynamicalSystems,DifferentialEquationsandApplications,HyattGrandCypress,Orlando,Florida,USA,July,2012.

著作譯著

亓健，朱東鳴,鄭神州.高等數學（上下冊）[M].國內:中國石油大學出版社,2009-03
龔漫奇,鄧小琴,鄭神州,趙生變,王秋媛,繆克英,吳靈敏,黎傳琦.高等數學習題教程(上、下冊）[M].科學出版社，2000-12
獲獎與榮譽
1998年北京市優秀青年骨干教師稱號

社會兼職
現為美國數學會《數學評論》（MathematicsReviews）評論員，國內、外有關重要刊物和項目、基金評審專家,如評審高等院校科學技術獎、霍英東基金、自然基金等，專業刊物:Comm.PDE,ScienceinChina等評審人.