简介：In[1],Dingetal.studiedthenonhomogeneousBurgersequationThispaperwillprovethatwhenμ→0thesolutionof(1.1)willapproachthegeneralizedsolutionofTheauthorsnoticethattheequation(1.2)isbeyondthescopeofinvestigationsbyOleinikO.in[2].Thesolutionshereareunboundedingeneral.Thepaperalsostudiestheδ-wavephenomenonwhen(1.2)isjointedwithsomeotherequation.

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简介：Thispaperpresentsanewstrategyofusingtheradialintegrationboundaryelementmethod(RIBEM)tosolvenon-homogeneousheatconductionandthermoelasticityproblems.Inthemethod,theevaluationoftheradialin-tegralwhichisusedtotransformdomainintegralstoequivalentboundaryintegralsiscarriedoutonthebasisofelementalnodes.Asaresult,thecomputationaltimespentinevaluatingdomainintegralscanbesavedconsiderablyincomparisonwiththeconventionalRIBEM.Threenumericalexamplesaregiventodemonstratethecorrectnessandcomputationalefficiencyoftheproposedapproach.

简介：Weobtainweaktype(1,q)inequalitiesforfractionalintegraloperatorsongeneralizednon-homogeneousMorreyspaces.Theproofsusesomepropertiesofmaximaloperators.Ourresultsarecloselyrelatedtothestrongtypeinequalitiesin[13,14,15].

简介：Inthispaper,aclassofnewimmersedinterfacefiniteelementmethods(IIFEM)isdevelopedtosolveelasticityinterfaceproblemswithhomogeneousandnon-homogeneousjumpconditionsintwodimensions.Simplenon-body-fittedmeshesareused.Forhomogeneousjumpconditions,bothnon-conformingandconformingbasisfunctionsareconstructedinsuchawaythattheysatisfythenaturaljumpconditions.Fornon-homogeneousjumpconditions,apairoffunctionsthatsatisfythesamenon-homogeneousjumpconditionsareconstructedusingalevel-setrepresentationoftheinterface.Withsuchapairoffunctions,thediscontinuitiesacrosstheinterfaceinthesolutionandfluxareremoved;andanequivalentelasticityinterfaceproblemwithhomogeneousjumpconditionsisformulated.Numericalexamplesarepresentedtodemonstratethatsuchmethodshavesecondorderconvergence.

简介：Inthispaperwediscussthediscrete,timenon--homogeneousdiscountedMarkoviandecisionprogramming,wherethestatespaceandallactionsetsarecountable.Supposethattheoptimumvaluefunctionisfinite.Wegivethenecessaryandsufficientconditionsfortheexistenceofanoptimalpolicy.Supposethattheabsolutemeanofrewardsisrelativelybounded.Wealsogivethenecessaryandsufficientconditionsfortheexistenceofanoptimalpolicy.

简介：让X是有有限措施的同类的类型的一个空格。让T是在L~p(X)上被围住的一个单个不可分的操作员，1

简介：Thespectraldensityofthequasi-homogeneous(QH)lighthasbeenknownwhenitscattersonQHmediaorpropagatesinfreespace.ThecasethatQHsourcesaresurroundedbyQHmediaisproposedinthispaper.Undertheparaxialapproximation,thespectraldensityoftheQHlightpropagatingthroughQHmediaisderived.AmodifiedscalinglawforthepropagationoftheQHlightthroughQHmediaisalsoobtained.Thislawalsoholdstrueinthefarfieldbeyondtheparaxialapproximation.

简介：在这份报纸，作者计算同类的Grushin泛音函数的空格的尺寸，并且给他们的一个直角的基础。而且，作者描述这些同质的Grushin泛音基础的节的曲线。作为直角的基础的一个应用程序，作者为Grushin操作符证明一条Liouville类型定理，那是Grushin泛音函数如果如此的一个函数的频率等于某常数，是同类的多项式。

简介：Inthepaperhomogeneousparticleboardofwheatstrawisresearched.Theresultshowsthetechnologyofhomogeneousparticleboardfromcostandquality.Themoisturecontentofstrawparticleis2.0%~2.5%.Thetemperatureofhot-pressingis150℃.Thetimeofhot-pressingis48sec/mm(panelthickness).TheratiobetweenMDIandUFis0.40.Thegluecontentforsurfacelayerofwheatstrawparticleis10%(MDI2.86%,UF7.14%).Thegluecontentforcorelayerofwheatstrawparticleis8%(MDI2.29%,U...

简介：这份报纸被奉献在同类的组X上学习加权的强壮的空间的原子分解。一些结果是在欧几里德几何学的泛音分析学习的对象的扩展。

简介：Inthispaper,usingspectraldecimation,weprovethatthe“hotspots”conjectureholdsonaclassofhomogeneoushierarchicalgasketsintroducedbyHambly,i.e.,everyeigenfunctionofthesecond-smallesteigenvalueoftheNeumannLaplacian(introducedbyKigami)attainsitsmaximumandminimumontheboundary.

简介：Inthispaper,westudythehomogeneouspolynomialsorthogonalwiththeweightfunctionh(x(d))=x2k11green.Itissimplerthantheformulain[2],andcanberegardedasanextensionof[1]undertheweightedcase.

简介：WeconsiderthehomogeneousCantorsetswhicharegeneralizationofsymmetricperfectsets,andgiveaformulaoftheexactHausdorffmeasuresforaclassofsuchsets.

简介：包括的有效策略弄短，链扩展，积极的组介绍和同类的反应战术，被采用与纤维素醋酸盐(CA)修改多围的碳nanotubes(MWNT)。由利用2,4,6-trichloro-1,3,5-triazine，特殊，MWNT(MWNT-triazine)的反应中介被获得。MWNT-triazine的合适的溶解度帮助让同类的修正成为现实。在在MWNT-triazine和氢氧根的氯化物原子之间的那反应在CA组织的进一步验证的详细描述贡献了MWNT-CA的形成结合。新奇MWNT-CA由碳(76.3%)组成，氧(18.4%)和氮(5.3%)。与42.8wt%的一个依附nanotube的CA内容，MWNT-CA在DMSO，NMP，DMF和DMAc是容易地可溶的。CA-based修正线路的证实可能导致为特定的吸着和隔离瞄准的研究。

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简介：M(J,{msns},{cs})bethecollectionofCartesianproductsoftwohomogenousMoransetswiththesameratios{cs}whereJ=[0,1]×[0,1].ThenthemaximalandminimalvaluesoftheHausdorffdimensionsfortheelementsinMareobtainedwithoutanyrestrictionon{msns}or{cs}.

简介：Thereactionmechanismsofdienepolymerizationwithhomogeneousrareearthcatalystarestudiedbymeansofthespectraof1H-NMR,one-andtwo-dimensions13C-NMR.BasedonthedataofaboveNMRspectra,itisproposedthatthepolymerizationreactionproceedsaccordingtothefollowingmechanism:η4-diene（cis-（?）trans-）andη3-allyl（syn-（?）anti-）.

简介：ThispaperintroducesaunifiedoperatortheoryapproachtotheabstractFourieranalysisoverhomogeneousspacesofcompactgroups.LetGbeacompactgroupandHbeaclosedsubgroupofG.LetG/HbetheleftcosetspaceofHinGandμbethenormalizedG-invariantmeasureonG/HassociatedtotheWeil'sformula.Then,wepresentageneralizedabstractframeworkofFourieranalysisfortheHilbertfunctionspaceL~2(G/H,μ).