简介：Inthispaper,weconsidertheNeumannboundaryvalueproblemofSchrodingeroperatorwithmeasurepotentia1μ.First,amartingaleformulationoftheNeumannproblemandananalyticcharacterizationofthemartingaleformulationaregiven.Then,byusingtheDirichletformsandStochasticanalysisweobtainanexplicitformulafortheuniqueweaksolotionofthisproblemintermsofreflectingBrownianmotionandit’sboundarylocaltime.

简介：本文通过变分法和临界点理论讨论了脉冲微分方程Neumann边值问题无穷多个解的存在性.

简介：对凸角域上的Neumann问题△u+au＝finΩ，эu/эn＝0onэΩ，这里α≥0是Ω上的有界可测函数且不恒为0，我们证明了：若f∈L^2（Ω)，则解u∈H^2(Ω)，且有正则性估计‖u‖2.0≤C‖f‖0.Ω。

简介：通过对激波曲线的分析，研究了Euler方程组的激波反射结构，给出了Euler方程组激波反射现象中发生冯·诺依曼矛盾（VonNeumannParadox）的一个充分条件，该条件是非必要的。结果表明，当给定绝热指数时，是否发生VonNeumannParadox依赖于入射激波的马赫数和入射角。研究结果为激波反射分类和弱激波反射的研究提供一定依据。

简介：这份报纸与Dirichlet-Neumann状况处理nonhomogeneous绳的周期的答案的存在。作者考虑时期是荒谬的盒子空格长度多重并且为某荒谬的数字证明那，零不是联系线性操作符的光谱的累积点。这结果能被用来证明周期的答案的存在避免使用Nash-Moser重复。

简介：ThispaperdealswithaproblemproposedbyH.BrezisontheexistenceofpositivesolutionstotheequationΔu+u^(n+2)/(n-2)+f(x,u)=0undertheNeumannboundaryconditionDru=u^n/(n-2),wheref(x,u)isalowerorderperturbationofu^(n+2)/(n-2)atinfinity.

简介：Thetraditionalone-dimensionalultrasonicbeamsteeringhastimedelayandisthusacomplicatedproblem.AnumericalmodelofultrasonicbeamsteeringusingNeumannboundaryconditioninmultiplysicsispresentedinthepresentpaper.Thismodelisbasedonthediscretewavenumbermethodthathasbeenprovedtheoreticallytosatisfythecontinuousconditions.Thepropagatingangleofnovelmodelisafunctionofthedistanceinsteadofthetimedomain.Thepropagatingwavefrontsatdesiredanglesaresimulatedwiththesinglelinesourcesforplanewave.Theresultindicatesthatanybeamanglecanbesteeredbydiscretelineelementsresourceswithoutanytimedelay.

简介：TheVeselov’sdiscreteNeumannsystemisderivedthroughnonlinearizationofadiscretespectralproblem.BasedonthecommutativerelationbetweentheLaxmatrixandtheDarbouxmatrixwithfinitegenuspotentials,aspecialsolutioniscalculatedwiththehelpoftheBaker-Akhiezer-Kriecheverfunction.

简介：SymplecticintegrationofseparableHamiltonianordinaryandpartialdifferentialequationsisdiscussed.AvonNeumannanalysisisperformedtoachievegenerallinearstabilitycriteriaforsymplecticmethodsappliedtoarestrictedclassofHamiltonianPDEs.Inthistreatment,thesymplecticstepisperformedpriortothespatialstep,asopposedtothestandardapproachofspatiallydiscretisingthePDEtoformasystemofHamiltonianODEstowhichasymplecticintegratorcanbeapplied.InthiswaystabilitycriteriaareachievedbyconsideringthespectraoflinearisedHamiltonianPDEsratherthanspatialstepsize.

简介：我们在三或四个尺寸空格与nonpositiveanisotropy常数为Landau-Lifshitz方程的非零Neumann起始边界的值问题建立存在和部分整齐的扩展结果。部分整齐被证明直到边界，这结果是对为Dirichlet问题或同类的Neumann问题的那些的重要补充。

简介：Inthispaper,westudyanddiscusstheexistenceofmultiplesolutionsofaclassofnon-linearellipticequationswithNeumannboundarycondition,andobtainatleastsevennon-trivialsolutionsinwhichtwoarepositive,twoarenegativeandthreearesign-changing.Thestudyofproblem(1.1):{-△u+αu=f(u),x∈Ω,x∈Ω,δu/δr=0,x∈δΩ,isbasedonthevariationalmethodsandcriticalpointtheory.Weformourconclusionbyusingthesub-supsolutionmethod,MountainPassTheoreminorderintervals,Leray-Schauderdegreetheoryandtheinvarianceofdecreasingflow.

简介：ThispaperisconcernedwiththeglobalexistenceandthepartialregularityfortheweaksolutionoftheLandau-Lifshitz-MaxellsystemintwodimensionswithNeumannboundaryconditions.

简介：研究了一类线性耦合反应扩散系统通过热量扩散实现间接控制的问题。通过选取适当的Volterra变换,运用Backsteeping方法设计出具体的Neumann边界控制器,从而得到闭环系统的稳定性定理。

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简介：TheexistenceandmultiplicityofpositivesolutionsarestudiedforaclassofquasilinearellipticequationsinvolvingSobolevcriticalexponentswithmixedDirichlet-Neumannboundaryconditionsbythevariationalmethodsandsomeanalyticaltechniques.

简介：这份报纸从测量边界排水量与Neumann边界控制为一个颤动的字符串的空间可变系数考虑鉴定。重建算法由二步组成：第一步是恢复光谱从由证明系统是光谱的测量边界排水量的数据可控制；第二步是重建系数从恢复光谱用边界控制方法，要求的准确可控制性为是的数据也验证了。

简介：设M,N是复Hilbert空间H上的因子vonNeumann代数,且dimH≥2.本文证明了对任意的A,B∈M,满足条件Φ（AB-BA＊）=Φ（A）Φ（B）-Φ（B）Φ（A）＊的双射Φ：M→N是一个线性或共轭线性的＊-同构.

简介：Byusingsomeresultsofpseudo-monotoneoperator,wediscusstheexistenceanduniquenessofthesolutionofonekindnonlinearNeumannboundaryvalueproblemsinvolvingthep-Laplacianoperator.Wealsoconstructaniterativeschemeconvergingstronglytothissolution.

简介：导子对研究算子代数的结构起着重要的作用.文中引入了零点广义Jordan可导映射的概念,并通过对文[1方法的应用得到了如下主要结果：在vonNeumann代数中,范数连续的零点广义Jordan可导映射是内导子与一固定元与恒等映射乘积的和,并得出在Hilbert空间上的全体有界线性算子上的零点广义Jordan可导映射也有同样的结论.