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简介：Inthispaper,thetheoremsconcerningthesummationofFourierserieswithparameteraregivenbyusingtheLaplacetransforms.BymeansoftheknownresultofLaplacetransforms,manynew,importantproblemsofsummationofFourierserieswithparameterinmechanicscanbesolved.

简介：AnewmethodforapproximatingtheinerseLaplacetransformispresented.WefirstchangeourLaplacetransformequationintoaconvolutiontypeintegralequation,whereTikhonovregularizationtechniquesandtheFouriertransformationareeasilyapplied.WefinallyobtainaregularizedapproximationtotheinverseLaplacetransformasfinitesum

简介：Inthepresentpaper,wehaveconsideredtheapproximationofanalyticfunctionsrepresentedbyLaplace-Stieltjestransformationsusingsequenceofdefiniteintegrals.WehavecharacterizedtheirorderandtypeintermsoftherateofdecreaseofEn（F,b）whereEn（F,b）istheerrorinapproximatingofthefunctionF（s）bydefiniteintegralpolynomialsinthehalfplaneRes≤b〈a.

简介：§0.IntroductionLetXbearealseparableBanachspaceandX*beitsdualspace,LetB（X）betheBorelfield,i.e.,thetopologicalσ-field.Afunctionalu:X→R’iscalledaboundedsmoothfunctional,ifn∈N,f1,…,fn∈X*andφ∈Cb∞（Rn）,suchthat

简介：设M^2n+1(K)是2n+1维常ψ—截面曲率K的紧致Sasaki流形，本文证明了与M^2n+1(K)等谱的上同调Einstein的紧致Sasaki流形必有常ψ-截面曲率K．

简介：Letfibeaboundedsmoothdomain.Inthispaper,theauthorsdefinetheBesovspacesBpa,pon,establishtheatomicdecompositionofthesespaces,andobtaintheregularityestimateoftheDirichletproblemandtheNeumannproblemfortheLaplaceoperatoronthesespaces.

简介：Inthispaper,weconsidertheCauchyproblemfortheLaplaceequation,whichisseverelyill-posedinthesensethatthesolutiondoesnotdependcontinuouslyonthedata.AmodifiedTikhonovregularizationmethodisproposedtosolvethisproblem.Anerrorestimatefortheaprioriparameterchoicebetweentheexactsolutionanditsregularizedapproximationisobtained.Moreover,anaposterioriparameterchoiceruleisproposedandastableerrorestimateisalsoobtained.Numericalexamplesillustratethevalidityandeffectivenessofthismethod.

简介：本文应用[1]中给出的Riemann流形上的Laplace—Beltrami算子△的定义及计算公式,导出了几种常见的以及二维曲面上的Laplace算子的具体表达式。1.Reimann流形上的Laplace—Beltrami算子设(M,g)是n维Riemann流形,其Riemann度量为g,考虑M上任一坐标图(U,ψ,u~1)我们有

简介：Thispaperdevelopsanumericalmethodtoinvertmulti-dimensionalLaplacetransforms.Byavariabletransform,Laplacetransformsareconvertedtomulti-dimensionalHansdorffmomentproblemssothatthenumericalsolutioncanbeachieved.Stabilityestimationisalsoobtained.Numericalsimulationsshowtheefficiencyandpracticalityofthemethod.

简介：Fora〈r〈b,theapproachofLiandZhou（2014）isadoptedtofindjointLaplacetransformsofoccupationtimesoverintervals（a,r）and（r,b）foratimehomogeneousdiffusionprocessbeforeitfirstexitsfromeitheraorb.Theresultsareexpressedintermsofsolutionstothedifferentialequationsassociatedwiththediffusionsgenerator.Applyingtheseresults,weobtainmoreexplicitex-pressionsonthejointLaplacetransformsofoccupationtimesforBrownianmotionwithdrift,BrownianmotionwithalternatingdriftandskewBrownianmotion,respectively.

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简介：我们为Laplace方程$\left\考虑三个维的Cauchy问题{\begin{聚在一起}u_{xx}(x，y，z)+u_{yy}(x，y，z)+u_{zz}(x，y，z)=0，x\inR，y\inR，0

简介：Inthispaperweconsiderthep-Laplaceproblem-εp?pu+V(x)up-1=uq-1,u>0inRNwhere2≤p0andp0issmall.

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简介：Inthispaper,researchofaftershockmechanismsisreviewed,includingheterogeneityofmediumandstress,mechanicalloading,fluidintrusionandstresscorrosion,andratestatedependence.Previousstudieshaveindicatedthattheheterogeneityofmediaandstressisthebasicpremiseofaftershocksgenerated.Fromthepointviewofmechanics,transientcreepandafterslipcanexplainthedecayofaftershocksinashorttimeafteramainshockandtherelaxationofstresstendstointerpretthecharacteristicsoflong-termaftershocks.Fluidintrusionandstresscorrosioncontroltheevolutionprocessoftheaftershocksundercertainconditions.Theinteractionbetweenthefaultsperturbedbythemainshockalwaysexistsduringtheaftershockactivities.Allkindsofmodelsandthetheorieswanttocomplywiththetwobasicpower-lawrelationships---theG-RlawandOmorilawtosomeextent.

简介：重要努力在在水泥揭示thaumasite形成的机制被作了，它继续与歧义和纠纷是充满的。化学方法被采用综合纯C3S，C2S，C3A，ettringite，和thaumasite，和X光检查衍射(XRD)，拉曼光谱学和红外线的光谱学(红外)被用来从另外的水合物识别thaumasite。调查thaumasite形成的直接线路，C3S，C2S，石膏，和钙碳酸盐被用来准备水泥粘贴以便ettringite形成的干扰能被避免。thaumasite形成的间接线路被考虑C3thaumasite上的A或ettringite内容形成。结果证明那个thaumasite罐头毫无疑问在适当条件下面当忍受铝的矿物质或ettringite不在时被产生，当ettringite存在支持thaumasite形成时。没有证据在这个工作支持异构的成核线路。方法在这提到工作能肯定被用来调查thaumasite形成的机制，这被结束，并且thaumasite能形成由直接并且woodfordite线路。

简介：The"ShanghaiFive"mechanismwasborninApril1996whentheRepublicofKazakhstan,thePeople’sRepublicofChina,theKyrgyzstanRepublic,theRussianFederationandtheRepublicofTajikistanheldasummitmeetinginShanghai.China.Thereaftertheyholdsummiteveryyearandeachofthemplayhostinturn.TheDushanbeSummitofJuly5,2000wastheirfifthmeeting.AfterfivesummitsfiveheadsofstateextensiveIyexchangedViewsofcommonconcern,and