简介:Anticipatedbackwardstochasticdifferentialequation(ABSDE)studiedthefirsttimein2007isanewtypeofstochasticdifferentialequations.Inthispaper,weestablishageneralcomparisontheoremforABSDEs.
简介:Inthispaper,weusecontractionmappingprinciple,operator-theoreticapproachandsomeuniformestimatestoestablishlocalsolvabilityoftheparabolic-hyperbolictypechemotaxissystemwithfixedboundaryin1-dimensionaldomain.Inaddition,localsolvabilityofthefreeboundaryproblemisconsideredbystraighteningthefreeboundary.
简介:Basedontherangespaceproperty(RSP),theequivalentconditionsbetweennonnegativesolutionstothepartialsparseandthecorrespondingweightedl_1-normminimizationproblemarestudiedinthispaper.Differentfromotherconditionsbasedonthesparkproperty,themutualcoherence,thenullspaceproperty(NSP)andtherestrictedisometryproperty(RIP),theRSPbasedconditionsareeasiertobeverified.Moreover,theproposedconditionsguaranteenotonlythestrongequivalence,butalsotheequivalencebetweenthetwoproblems.First,accordingtothefoundationofthestrictcomplementaritytheoremoflinearprogramming,asufficientandnecessarycondition,satisfyingtheRSPofthesensingmatrixandthefullcolumnrankpropertyofthecorrespondingsub-matrix,ispresentedfortheuniquenonnegativesolutiontotheweightedl_1-normminimizationproblem.Then,basedonthiscondition,theequivalenceconditionsbetweenthetwoproblemsareproposed.Finally,thispapershowsthatthematrixwiththeRSPoforderkcanguaranteethestrongequivalenceofthetwoproblems.
简介:Inthispaper,themodifiedextendedtanhmethodisusedtoconstructmoregeneralexactsolutionsofa(2+1)-dimensionalnonlinearSchr¨odingerequation.WiththeaidofMapleandMatlabsoftware,weobtainexactexplicitkinkwavesolutions,peakonwavesolutions,periodicwavesolutionsandtheir3Dimages.