简介：在这份报纸，我们调查夸张Yamabe问题的答案为(1+n)维的Minkowski时空。更精确说，为n=的案例1，我们导出夸张Yamabe问题的一个一般答案；为n=的案例2，3，我们学习夸张Yamabe问题的光滑的答案的全球存在和发作现象；当时为一般多维的案例n2，我们为夸张Yamabe问题的一种准确答案讨论全球存在和不存在。

简介：Inthispaper,westudythenormalityofthefamilyofmeromorphicfunctionsfromtheviewpointofhyperbolicmetric.Then,anewsufficientandnecessaryconditionisobtained,whichcandetermineagivenfamilyofmeromorphicfunctionsisnormalornot.

简介：WedefinethenotionofevolutesofcurvesinahyperbolicplaneandestablishtherelationshipsbetweensingularitiesofthesesubjectsandgeometricinvariantsofcurvesundertheactionoftheLorentzgroup.WealsodescribehowwecandrawthepictureofanevoluteofahyperbolicplanecurveinthePoincarédisk.

简介：Inthispaper,theauthorsobtainacharacteristicthatacompleteRiemannianmanifoldturnsintoahyperbolicspaceform.

简介：Thispaperdealswithabsorbingboundaryconditionsforhyperbolicsystemsinoneandtwospacedimensions.Weprovethestrictwell-posednessoftheresultinginitialboundaryvalueproblemin1D.AfterwardsweestablishtheGKS-stabilityofthecorrespondingLax-Wendroff-typefinitedifferencescheme.Hereby,wehavetoextendtheclassicalproofs,sincethe(discretized)absorbingboundaryconditionsdonotfitthestandardformofboundaryconditionsforhyperbolicsystems.

简介：决定一张图什么时候是Gromov夸张一般来说，是一个很难的问题。在这份报纸，我们为短图的集合解决这个问题(以一个非正式的方法，如果在G的周期的捷径有长度，图G是r短的不到r)：如果并且仅当S9r(G)是有限的，r短的图G是夸张的，在的地方SR(G):=啜{L(C)：C是在G的一个R等轴的周期}并且我们说周期C是R等轴的如果dC(x，y)dG(x，y)为每x的+R，yC。

简介：

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

简介：InthispaperweobtaintheexistenceofthegeneralizedsolutionstotheCauchyproblemforamodelofcombustionprovidedthatthefunctionfisofnonconvexityandinitialvalueslieinthebounded,measurableclass.

简介：Inthispaperwereviewoursomeresultsaboutthestronglysingular(discontinuous,measure,ordeltafunction)problemsfornonlinearhyperbolicequations.

简介：UsingtheinterpolationtheoryofafamilyoflinearoperatorsandtheSobolevspaces,weintroduceaquantityJ_∈~4(λ)whichdepictstheshapeoftheboundarylayer,andthenanalyzetheboundarysingulartyofJ_∈~4(λ).Ourresultshowsthatthethicknessoftheboundarylayer(ortheregularregionofJ_∈~4(λ))isintrinsicallyrelatedtothereciprocaloftheorderoftheequation;thelossofboundaryconditionsbetweenthesingularsolutionandthelimitsolutiondoesnotinfluencethethicknessoftheboundarylayer,butitinfluencestheprocessofincreasingsingularityofJ_∈~4(λ);themorethelossofboundaryconditions,thesmallertheregionofincreasingsingularity.Finally,wegiveadefinitionofaneighborhoodofsuddenchangeandproposeanopenproblemregardingthisneighborhood.

简介：ＡＮＡＬＹＳＩＳＯＦＳＴＲＯＮＧＳＩＮＧＵＬＡＲＩＴＩＥＳＦＯＲＮＯＮＬＩＮＥＡＲＨＹＰＥＲＢＯＬＩＣＥＱＵＡＴＩＯＮＳＦＡＮＧＤＡＯＹＵＡＮＡｂｓｔｒａｃｔ．Ｉｎｔｈｉｓｐａｐｅｒｗｅｒｅｖｉｅｗｏｕｒｓｏｍｅｒｅｓｕｌｔｓａｂｏｕｔｔｈｅｓｔｒ...

简介：Onthebasisoftheprincipleofdielesshydrobulgingtechnology,anovelhydrobulgingtechnologyformanufacturinghyperbolicplatesisproposed.First,atoroidalpipeelboworapartialtoroidalpipeelbowisformed,thenthesinglehydrobulgedstructurecanbecutupintosomedesiredplates.Itisprovedbyexperimentsandfiniteelementsimulationthatmanufacturingtechnologyofhyperbolicplatesadoptingintegratedhydrobulgingformingtechnologyisfeasible.

简介：Thispapergivesaclassificationofcompletehypersurfaceswithnonzeroconstantmeancurvatureandconstantquasi-Gauss-KroneckercurvatureinthehyperbolicspaceH4(-1),whosescalarcurvatureisboundedfrombelow.

简介：Thispaperstudiestheinteractionofelementarywavesincludingdelta-shockwavesontwoboundariesforahyperbolicsystemofconservationlaws.Thesolutionsoftheinitial-boundaryvalueproblemforthesystemareconstructivelyobtained.Intheproble

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简介：ItisprovedinthispaperthattheapproximatesolutionofthediscontinuousGalerkinmethoddoesconvergeeventheexactsolutionofthefirstorderhyperbolicequationisdiscontinuous.

简介：AD(Alternatingdirection)Galerkinschemesford-dimensionalnonlinearpseudo-hyperbolicequationsarestudied.Byusingpatchapproximationtechnique,ADprocedureisrealized,andcalculation,workissimplified.ByusingGalerkinapproach,highlycomputationalaccuracyiskept.Byusingvariousprioriestimatetechniquesfordifferentialequations,difficultycomingformnon-linearityistreated,andoptimalH^1andL^2convergenceprop-ertiesaredemonstrated.Moreover,althoughalltheexistedADGalerkinschemesusingpatchapproximationarelimitedtohaveonlyoneorderaccuracyintimeincrement,yettheschemesformulatedinthispaperhavesecondorderaccuracyinit.ThisimpliesanessentialadvancementinADGalerkinaualysis.

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简介：我们为能量守恒定律的多维的夸张系统构造并且实现一个非摆动的松驰计划。方法转变非线性的夸张系统到半有没有使用Riemann解答者或线性重复，能数字地被解决的一个松驰来源术语和线性特征的线性模型。到discretize我们在空间和TVDRunge-Kutta时间集成考虑高分辨率的重建的松驰系统。计划的详细明确的表达在三种空间尺寸为问题被给，数字实验在数量和系统盒子被实现显示出方法的有效性。数学题目分类：35L60，35L65，82B40，65M20，74S10，65L06。