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  • 简介:加权的Sobolev狮子类型空格Wlp,(;E0,E)=Wlp,(;E)Lp,(;E0),被学习E0,E是二个Banach空格,E0连续地并且浓密地在E上被嵌入。在Wlp的区域Rn的能力的一个新概念,(;E0,E)被介绍。几个条件以区域的能力和E0和E的插值被发现以便保证嵌入操作员的连续性和紧密。特别地,在E0之间的插值空格E的最常规的类和E,看情况并且l,被发现以便混合微分操作符D从Wlp被围住并且压缩,(;E0,E)到电子valuedLp,空格。在应用,为有参数的微分操作员的方程的最大的整齐被学习。

  • 标签: 紧嵌入 能力 BANACH空间 应用 SOBOLEV 摘要
  • 简介:Thispaperfocusesonnonlocalintegralboundaryvalueproblemsforellipticdifferential-operatorequations.HeregivenconditionsguaranteethatmaximalregularityandFredholmnessinL_pspaces.TheseresultsareappliedtotheCauchyproblemforabstractparabolicequations,itsinfinitesystemsandboundaryvalueproblemsforanisotropicpartialdifferentialequationsinmixedL_pnorm.

  • 标签: 局部积分 椭圆方程 偏微分方程 边值问题 抛物型方程 算子方程
  • 简介:我们工作,抽象K和J插值方法由顺序格子Γ产生了。我们由以操作员的限制的理想的措施为插入内推的操作员的理想的措施建立公式从给定的操作员理想调查一个插入内推的操作员的偏差。公式在Γ上以移动操作员的标准被给。

  • 标签: 真插值 理想测度 理想算子 转换算子
  • 简介:Thefastturnoverofsoftwaretechnologies,inparticularinthedomainofinteractivity(coveringuserinterfaceandvisualisation)makesitdifficultforasmallgroupofpeopletoproducecompleteandpolishedsoftware-toolsbeforetheunderlyingtechnologiesmakethemobsolete.AttheHepVis'99workshop,aworkinggrouphasbeenformedtoimprovetherpoductionofsoftwaretoolsfordataanalysisinHENP.Besidepromotingadistributeddevelopmentorganisation,onegoalofthegroupistosystematicallydesignasetofabstractinterfacesbasedonusingmodernOOanalysisandOOdesigntechniques.Aninitialdomainanalysishascomeupwithseveralcategories(componets)foundintypicaldataanalysistools:historams,Ntuples,Functions,Vectors,Fitter,Plotter,AnalyzerandController,SpecialEmphasiswasputonreducingthecouplingsbetweenthecategoriestoaminimum,thusoptimisingre-useandmaintainabilityofanycomponentindividually.TheinterfaceshavebeendefinedinJavaandC++andimplementationsexistintheformoflibrariesandtoolsusingC++(Anaphe/Lizard,Openscientist)andJava(JavaAnalysisStudio),AspecialimplementationaimsataccessingtheJavaLiraries(throughtheirAbstractInterfaces)fromC++.ThispapergiveranoverviewofthearchitectureanddesignofthevariouscomponentsfordataanalysisasdiscussedinAIDA.

  • 标签: 软件开发 数据分析 数据分析工具 HENP
  • 简介:Inthispaper,wediscusstheexistenceanduniquenessofmildsolutionsofrandomimpulsiveabstractneutralpartialdifferentialequationsinarealseparableHilbertspace.TheresultsareobtainedbyusingLeray-SchauderAlternativeandBanachContractionPrinciple.Finallyanexampleisgiventoillustrateourproblem.

  • 标签: neutral equation LERAY SCHAUDER Alternative BANACH