学科分类
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92 个结果
  • 简介:TheYang-Mills-HiggsfieldgeneralizestheYang-Millsfield.TheauthorsestablishthelocalexistenceanduniquenessoftheweaksolutiontotheheatflowfortheYang-Mills-HiggsfieldinavectorbundleoveracompactRiemannian4-manifold,andshowthattheweaksolutionisgauge-equivalenttoasmoothsolutionandthereareatmostfinitesingularitiesatthemaximumexistingtime.

  • 标签: 热流动 杨-米尔斯-希格斯场 唯一性 存在性 弱解
  • 简介:Intheintroductionapreliminaryconsiderationofthesenseofconcepts“set”,“structure”,“system”,and“model”,aswellasoftheconnectionbetweenthemisproposedandonthebasisofitsresultsthetaskofinvestigationofabstractbasesofsystem(inparticularreconsiderationofconcept“abstractset”),ofabstractstructure,abstractsystemandofS-Modelisformulated.Thefirstsectionisdevotedtoformulationofanapproachtoconstructionofaggregatetheoryregardedasananalogofmoderateconstructivesettheory:therelations“inclusion”and“equivalence”betweenaggregatesandtheoperationsonaggregates“union”,“intersection,“difference”and“compliment”areintroduced.Definitionoftheconcept“a-system”aswellasofitsa-structureonthespaceofaggregatesisdefined.AspecialattentionisshowntosimilarityandessentialdifferencebetweenaggregatetheoryandsettheoryaswellastothefactthatthefamousparadoxesofCantorandRussellintheCantor’ssettheorytakenoplaceintheaggregatetheory.FurtheravariantofCantor’ssettheorycalledrestricteddiscretesettheoryisconsidered.Thesecondsectionisdevotedtoformulationofanapproachtoconstructionofalgebraofa-systems.Attheendtheconceptofsystemofsuccessivesystems(SSS),isintroduced.

  • 标签: AGGREGATE SET STRUCTURE SYSTEM MODEL
  • 简介:ThepurposeofthispaperistostudythestabilityandapproximationpropertiesofRitz-Volterraprojection.ThroughconstructinganewtypeofGreenfunctionsandmakinguseofvariouspropertiesandestimatesrelatedwiththefunctions,weprovethattheRitz-Volterraprojectiondefinedonthefinite-dimensionalsubspaceS_hofH_o~1possessestheW_p~1-stabilityandtheoptimalapproximationpropertiesinW_p~1andL_pfor2≤p≤∞.Ourresults,inthispaper,canbeappliedtothefiniteelementapproximationsformanyevolutionequationssuchasparabolicandhyperbolicintegrodifferentialequations,Sobolevequationsandvisco-elasticity,etc.

  • 标签: Ritz-Volterra PROJECTION STABILITY and approximation.
  • 简介:充分一致的相对论的连续统随机阶段近似(RCRPA)以格林的功能技术被构造。在到原子刺激的连续统光谱的贡献完全被单个粒子对待的这个方法,格林是功能,它也在迪拉克海包括否定状态在没有海近似。RCRPA和数字细节的理论形式主义被介绍。单个粒子格林的功能被迪拉克方程的常规、不规则的答案的一个合适的产品数字地计算。数字细节和在动量表示的RCRPA的形式主义被介绍。

  • 标签: 形式主义 相对论 随机 格林函数方法 狄拉克方程 计算数值
  • 简介:Theauthorsconsidertheexistenceandregularityoftheobliquederivativeproblem:{Pu=finΩ,^→tu=gonэΩwherePisasoc~adorderellipticdifferentialoperatoronR^n,ΩisaboundeddomaininR^nand^→tisaunitvectorfieldonthebouudaryofΩ(whichmaybetangentialtotheboundary).Allaboveareassumedwithlimitedsmoothnees.TheauthorsshowthatsolutionuhasanellipticgainfromfinHolderspaces(Theorem1.1).TheauthorsobtainL^nregualrityofsolutioninTbeorem1.3,whichgeneralizestheresultsin[7]tothelimitedsmoothcase.Someoftheapplicationnonlinearproblemsarealsodiscussed.

  • 标签: 偏导数 退化边值问题 存在性 正则性
  • 简介:Inthispaper,byconstructingtheone-to-onecorrespondencebetweenitsIFSandthequaternaryfractionalexpansion,then-thiterationanalyticalexpressionandthelimitrepresentationofthefamilyoftheKoch-typecurveswitharbitraryanglesareobtained.ThedistinctionbetweenourmethodandthatofH.SaganisthatweprovidethegenerationprocessanalyticallyandrepresentitasagraphofaseriesfunctionwhichlooksliketheWeierstrassfunction.Withthesearithmeticexpressions,wefurtheranalyzeandprovesomeofthefractalpropertiesoftheKoch-typecurvessuchastheself-similarity,theHo¨lderexponentandwiththepropertyofcontinuouseverywherebutdifferentiablenowhere.Then,wewillshowthattheKochtypecurvescanbeapproximatedbydifferentconstructedgenerators.BasedontheanalytictransformationoftheKoch-typecurves,wealsoconstructedmorecontinuousbutnowhere-differentiablecurvesrepresentedbyarithmeticexpressions.Thisresultimpliesthattheanalyticalexpressionofafractalhastheoreticalandpracticalsignificance.

  • 标签: 解析表达式 算术表达式 曲线族 WEIERSTRASS 分形性质 对应关系
  • 简介:THEPATHWISESOLUTIONFORACLASSOFQUASILINEARSTOCHASTICDIFFERENTIALEQUATIONINBANACHSPACESIHuYaozhong(胡耀忠)(WuhanInst.ofMath.Sci.,C...

  • 标签: R?
  • 简介:OnCopositiveInthispapertheauthorwritesasimplecharacterizationforthebestcopositiveapproximationtoelementsofC(Q)byelementsoffinitedimensionalstrictChebyshevsubspacesofC(Q)inthecasewhenQisanycompactsubsetofrealnumbers.AttheendofthepapertheauthorappliesthisresultfordifferentclassesofQ.

  • 标签: STRICT CHEBYSHEV spaces best COPOSITIVE approximation
  • 简介:R.A.Gordon在[1]中定义了从R^1到Banach空间抽象函数的McShane积分,证明了当X不含C0时,如果,在[a,b]上MeShanef可积,则在[a.b]上Pettis可积.在这篇文章中,我们定义了从R^n到Banaach空间抽象函数的Mcshane积分。证明了fMcShane可积,则f是Pettis可积.于是我们推广了[1]的结果。

  • 标签: 可积 积分 BANACH空间 证明 值函数 抽象函数
  • 简介:Inthispaper,westudyseveraliterativemethodsforfindingthemaximal-likesolutionofthematrixequationX+A~*X~(-2)A=I,anddeducesomepropertiesofthemaximal-likesolutionwiththesemethods.

  • 标签: 矩阵方程 迭代法 恒等式 复矩阵
  • 简介:TheLaboratoryforIntenseLasers(L2I)isaresearchcentreinopticsandlasersdedicatedtoexperimentalresearchinhighintensitylaserscienceandtechnologyandlaserplasmainteraction.Currentlythelaboratoryisundergoinganupgradewiththegoalofincreasingtheversatilityofthelasersystemsavailabletotheusers,aswellasincreasingthepulserepetitionrate.Inthispaperwereviewthecurrentstatusofthelaserresearchanddevelopmentprogrammeofthisfacility,namelytheupgradedcapabilityandtherecentprogresstowardstheinstallationofanultrashort,diode-pumpedOPCPAlasersystem.

  • 标签: DIODE-PUMPED SOLID-STATE LASER and APPLICATIONS FEMTOSECOND
  • 简介:该型测量组合导航系统是在装船使用4年取得较好效果的情况下,于1993年2月通过部级技术鉴定,本文概要介绍了主要功能、技术途径、硬件设计特点、软件设计概况及数据处理技术,并综述了海上试验与试用情况等技术资料。

  • 标签: 组合导航系统 远海测量 数据采集接口 数学模型 导航定位 定位精度