简介：Theinitialvalueproblemsandthefirstboundaryproblemsforthequasilinearwaveequationutt-[a0+na1（ux）n-1]uxx-a2uxxtt=0areconsidered,wherea0,a2>0areconstants,a1isanarbitraryrealnumber,nisanaturalnumber.Theexistenceanduniquenessoftheclassicalsolutionsfortheinitialvalueproblemsandthefirstboundaryproblemsoftheequation（1）areprovedbytheGalerkinmethod.

简介：<正>Inthispaper,wediscussthevariationalproblemsofstronglyquasiconvexfunctionalswithboundaryintegralsandthenon-Dirichletproblemsofquasilineardegenemteellipticequations.Wehaveestablishedthesolvabilitytheoremsofthevariationalproblemsandthenon-Dirichletproblems.

简介：Wepresentnewsufficientconditionsonthesolvabilityandnumericalmethodsforthefollowingmultiplicativeinverseeigenvalueproblem:Givenann×nrealmatrixAandnrealnumbersλ1,λ2,...,λn,findnrealnumbersc1,c2,...,cnsuchthatthematrixdiag(c1,c2,...,cn)Ahaseigenvaluesλ1,λ2,...,λn.

简介：Thecollectionofterminalsubcontinuainthetheoryofhomogeneouscontinuaandsomeproblemsconcerningatomicmapping,cell-likemappingconnectedwithhomogeneityarestudied.

简介：Iterativealgorithmsforsolvingthedataassimilationproblemsareconsidered，basedonthemainandadjointequations.Spectralpropertiesofthecontroloperatorsoftheproblemarestudied,theiterativealgorithmsarejustified.

简介：在这份报纸，作者考虑由一些侧面的边界数据在一个ultrahyperbolic方程决定一个系数或一个来源术语的反的问题。作者证明H?lder估计哪个是全球、本地的，关键工具是Carleman估计。

简介：GivinganonisotropicplasticityproblemonaSobolevSpace,theauthortriestorelaxittoanewproblemwhiohisposedonasubsetofBD(Ω).Itisprovedthatthisrelaxationdoesnotchangetheequilibriumenergyandthatthesolutionsexistinsuchsettingsundernottoorestrictedconditions.

简介：Anewapproachisgiventoanalysetheregularityofsolutionsnearsingularpointsfortheinterfaceproblemsofsecondorderellipticpartialdifferentialequations.Forgeneralequationswithnonsyrnmetricdominanttermsanddiscontinuouspiecewiaesmoothcoefficients,itisprovedthatsolutionsinH^1canbedocomposedintotwoparts,oneofwhichisafinitesumofparticularsolutionstothecorrespondinghomogeneonsequationswithpiecewiseconstantcoettioionts,andtheotheroneofwhichistheregularpart.Moreoveraprioriestimationsareproven.

简介：Thispaperdealswiththebifurcationproblemsofmultiparameterandmultibranchandtheirapproximations.Itderivesgeneralapproximationresultsofsolutionbranchesintheneighbourhoodofasingular(limit,turningormultibranch)point,andshowsthatturningandmultibranchpointsarebifurcationpoints.TheabstracttheoriesareappliedtoamixedfiniteelementapproximationofstationaryNavier-Stokesequation.

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简介：Thispaperisintendedtobeafirststeptowardsthecontinuousdependenceofdynamicalcontactproblemsontheinitialdataaswellastheuniquenessofasolution.Moreover,itprovidesthebasisforaproofoftheconvergenceofpopulartimeintegrationschemesastheNewmarkmethod.WestudyafrictionlessdynamicalcontactproblembetweenbothlinearlyelasticandviscoelasticbodieswhichisformulatedviatheSignorinicontactconditions.ForviscoelasticmaterialsfulfillingtheKelvin-Voigtconstitutivelaw,wefindacharacterizationoftheclassofproblemswhichsatisfyaperturbationresultinanon-trivialmixofnormsinfunctionspace.Thischaracterizationisgivenintheformofastabilityconditiononthecontactstressesatthecontactboundaries.Furthermore,wepresentperturbationresultsfortwowell-establishedapproximationsoftheclassicalSignorinicondition:TheSignoriniconditionformulatedinvelocitiesandthemodelofnormalcompliance,bothsatisfyingevenasharperversionofourstabilitycondition.

简介：Inthispaper,weakandstrongconvergencetheoremsareestablishedbyhybriditerationmethodforgeneralizedequilibriumproblemandfixedpointproblemsofafinitefamilyofasymptoticallynonexpansivemappingsinHilbertspaces.Theresultspresentedinthispaperpartlyextendandimprovethecorrespondingresultsofthepreviouspapers.

简介：Resolventmethodsarepresentedforgeneratingsystematicallyiterativenumericalalgorithmsforconstrainedproblemsinmechanics.Theabstractframeworkcorrespondstoageneralmixedfiniteelementsubdif-ferentialmodel,withdualandprimalevolutionversions,whichisshowntoapplytoproblemsoffluiddynamics,transportphenomenaandsolidmechanics,amongothers.Inthismanner,Uzawa’stypemethodsandpenalization-dualityschemes,aswellasmacro-hybridformulations,aregeneralizedtononnecessarilypotentialnanlinearmechanicalproblems.

简介：AboundaryproblemfortheKlein-GordonequationinthestripO≤t≤Tisconsideredwiththeboundarycondition:theinitialstateatt=Oandthefinalstateatt=T.Itisproventhattheproblemadmitsofaninfinitenumberofsolutions.Thesameresultholdsforageneric2ndorderhyperbolicequationin2-variables.Usingtheresultforthewaveoperatorin3-spacedimensionswegiveamethodtoreconstructfunctionswhoseintegralonallunitspheresinR~3isagivenfunction.

简介：AnegativecurvaturemethodisappliedtononlinearleastsquaresproblemswithindefiniteHessianapproximationmatrices.Withthespecialstructureofthemethod,anewswitchisproposedtoformahybridmethod.Numericalexperimentsshowthatthismethodisfeasibleandeffectiveforzero-residual,small-residualandlarge-residualproblems.

简介：Thestateequationsofstochasticcontrolproblems,whicharecontrolledstochasticdifferentialequations,areproposedtobediscretizedbytheweakmidpointruleandpredictor-correctormethodsfortheMarkovchainapproximationapproach.Localconsistencyofthemethodsareproved.NumericaltestsonasimplifiedMerton'sportfoliomodelshowbettersimulationtofeedbackcontrolrulesbythesetwomethods,ascomparedwiththeweakEuler-MaruyamadiscretisationusedbyKrawczyk.ThissuggestsanewapproachofimprovingaccuracyofapproximatingMarkovchainsforstochasticcontrolproblems.

简介：在这篇文章，我们与左、正确的Riemann-Liouville部分衍生物学习变化的演算的isoperimetric问题。两种状况什么时候变化积分的更低的界限与一致并且不与部分衍生物的更低的界限与一致被考虑。

简介：Atrecent,Hourgatetgaveadomaindecompositionalgorithmforellipticproblemswhichcanbeimplementedinparallel.Manynumericalexperimentshaveillustrateditsefficiency.Inthepresentpaper,weapplythisalgorithmtosolvethediscreteparabolicproblems,analyseitsconvergenceandshowthatitsconvergenceraleisabout(1-2p+σp2)whichisnearlyoptimalandindependentoftheparameterτ,whereστO((1+H)(1+ln(H/h))2).0

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简介：Theinversescatteringproblemsaretodetectthepropertyofobstaclesfromthemeasurementsoutsidetheobstacles.Oneofimportantresearchareasinthistopicistherecoveryofboundarypropertyforimpenetrableobstacles.Inthispaper,wewouldliketogiveabriefreviewabouttherecentlydevelopedsingularsourcemethods.Therearethreedifferentmethodsinthiscategory,namely,linearsamplingmethod,pointsourcemethodandprobemethod.Wealsopresentsomerecentnewresultsabouttheprobemethod.