简介：Theexistenceanduniquenessresultsaboutquasilinearperiodicboundaryvalueproblemsareestablishedbyusingtheglobalinversefunctiontheoremandtheresultabouttheexistenceanduniquencessofperiodicsolutionsfortheperiodicboundaryvalueproblemofnonhomogeneouslinearperiodicsystem.

简介：Inthispaper,usingcapacitytheoryandextensiontheoremofLipschitzfunctionswefirstdiscusstheuniquenessofweaksolutionofnonhomogeneousquasilinearellipticequationsinspaceW(θ,p)(Ω),whichisbiggerthanW1,p(Ω).Next,usingrevisereverseHolderinequalityweprovethatifωcisuniformlyp-think,thenthereexistsaneighborhoodUofp,suchthatforallt∈U,theweaksolutionsofequationcorrespondingtareboundeduniformly.Finally,wegetthestabilityofweaksolutionsonexponentp.

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简介：Foraclassofmixedinitial-boundaryvalueproblemforgeneralquasilinearhyperbolicsystems,thispaperestablishesthelocalexactboundarycontrollabilitywithboundarycontrolsonlyactingononeend.Asanapplication,theauthorsshowthelocalexactboundarycontrollabilityforakindofnonlinearvibratingstringproblem.

简介：ThispaperconsidersthepointwiseestimateofthesolutionstoCauchyproblemforquasilin-earhyperbolicsystems,whichbasesontheexistenceofthesolutionsbyusingthefundamentalsolutions.Itgivesasharppointwiseestimatesofthesolutionsondomainunderconsideration.Specially,theestimateispreciseneareachcharacteristicdirection.

简介：Theexistenceandnonexistenceofnon-trivialsolutionsfortheCauchyproblemoftheformut=div(|↓Δu|^p-2↓Δu)-u^q,u(x,0)=0,x∈IR^N\{0}arestudied.

简介：Inthispaper,thefirstboundaryvalueproblemforquasilinearequationoftheform△A(u,x)+m∑i=1(e)bi(u,x)/(e)xi+c(u,x)=0,Au(u,x)≥0isstudied.Byusingthecompensatedcompactnesstheory,someresultsontheexistenceofweaksolutionareestablished.Inaddition,undercertainconditiontheuniquenessofsolutionisproved.

简介：Thispaperconcernswithexistenceofgeneralizedsolutionsoffirstboundaryvalueproblemforakindofstronglydegeneratequasilinearparabolicequations.TheauthorassumesthatthecoefficientsintheequationsatisfystronglydegeneratemonotoneconditionandotherweakenedconditionscomparingwiththoseofLadyzenskaja’s.Anexistencetheoremisgivenandproved.

简介：Inthispaper,theauthorstudiestheglobalexistence,singularitiesandlifespanofsmoothsolutionsoftheCauchyproblemforaclassofquasilinearhyperbolicsystemswithhigherorderdissipativetermsandgivestheirapplicationstononlinearwaveequationswithhigherorderdissipativeterms.

简介：Anonlineardifferenceschemeisgivenforsolvingaquasilinearsiagularlyperturbedtwo-pointboundaryvalueproblemwithaturningpoint.Themethodusesnon-equidistantdiscretizationmeshes.ThesolutionoftheschemeisshowntobefirstorderaccurateinthediscreteL^∞norm,uniformlyintheperturbationparameter.

简介：InthispapertheexistenceandmultiplicitiesofpositivesolutionsforaclassofquasilieardifferentialsystemswithsingularnonlinearitiesviaLeray-Schaudetdegreetheoryareestablished.

简介：ＴＨＥＰＡＴＨＷＩＳＥＳＯＬＵＴＩＯＮＦＯＲＡＣＬＡＳＳＯＦＱＵＡＳＩＬＩＮＥＡＲＳＴＯＣＨＡＳＴＩＣＥＱＵＡＴＩＯＮＳＯＦＥＶＯＬＵＴＩＯＮＩＮ　ＢＡＮＡＣＨＳＰＡＣＥⅡＨｕＹａｏｚｈｏｎｇ（ＷｕｈａｎＩｎｓｔ．ｏｆＭａｔｈ．Ｓｃｉ．，Ｃｈｉｎ．Ａ...

简介：Inthispaper,weusetheupper-lowersolutionmethodwiththetheoryofmonotoneoperatorstoobtaintheexistenceofcoupledweakquasi-solutionsofthefollowingboundaryvalueproblemforquasilinearellipticsystem

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

简介：ＴＨＥＰＡＴＨＷＩＳＥＳＯＬＵＴＩＯＮＦＯＲＡＣＬＡＳＳＯＦＱＵＡＳＩＬＩＮＥＡＲＳＴＯＣＨＡＳＴＩＣＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＩＮＢＡＮＡＣＨＳＰＡＣＥＳＩＨｕＹａｏｚｈｏｎｇ（胡耀忠）（ＷｕｈａｎＩｎｓｔ．ｏｆＭａｔｈ．Ｓｃｉ．，Ｃ...

简介：BymeansofthecontinuousGlimmfunctional,aproofisgivenontheglobalexistenceofclassicalsolutionstoCauchyproblemforgeneralfirstorderquasilinearhyperbolicsystemswithsmallinitialtotalvariation.

简介：Sufficientconditionsfortheexistenceofpositivesolutionstoaclassofquasilinearellipticequationsintwo-dimensionalexteriordomainsaregiven.

简介：Theauthorconsidersthelife-spanofclassicalsolutionstoCauchyproblemforgeneralfirstorderquasilinearstrictlyhyperbolicsystemsintwoindependentvariableswith"slow"decayinitialdata.Byconstructinganexample,firstitisillustratedthattheclassicalsolutiontothiskindofCauchyproblemmayblowupinafinitetime,evenifthesystemisweaklylinearlydegenerate.Thensomelowerboundsofthelife-spanofclassicalsolutionsaregiveninthecasethatthesystemisweaklylinearlydegenerate.Theseestimatesimplythat,whenthesystemisweaklylinearlydegenerate,theclassicalsolutionexistsalmostgloballyintime.Finally,itisprovedthatTheorems1.1-1.3in[2]arestillvalidforthiskindofinitialdata.

简介：为quasilinear波浪方程的答案的计算介绍第一和第二顺序精确性的有限差别方法的一个班。一般symplectic计划的概述并且产生功能；为quasilinear的数字计划挥动方程；数字结果。

简介：ＦＩＲＳＴＯＲＤＥＲＱＵＡＳＩＬＩＮＥＡＲＥＱＵＡＴＩＯＮＳＩＮＳＥＶＥＲＡＬＩＮＤＥＰＥＮＤＥＮＴＶＡＲＩＡＢＬＥＳＷＩＴＨＳＩＮＧＵＬＡＲＩＮＩＴＩＡＬＤＡＴＡＬ~ｐ（Ｐ＜∞）￥（赵会江）ＺｈａｏＨｕｉｊｉａｎｇ（ＹｏｕｎｇＳｃｉｅｎｔｉｓｔＬａ?..