简介:Inthispaper,wegetW1,p(Rn)-boundednessfortangentialmaximalfunc-tionandnontangentialmaximalfunction,whichimprovesJ.Kinnunen,P.LindqvistandTananka’sresults.
简介:LetDbeaboundedC3-domaininRdand(aij)beaboundedsymmetricmatrixdefinedonD.Considerthesymmetricform(u,v)=1/2∫Daij(x)(u(x))/(xi)(v(x))/(xj)dx,u,v∈H1(D).UndersomeassumptionsitisshownthatthediffusionprocessassociatedwiththeregularDirichletspace(,(H1(D))onL2(D)canbecharacterizedasauniquesolutionofacertainstochasticdifferentialequation.
简介:ThepapermodelsthearrivalofheterogeneousinformationduringR&DstagesasadoublystochasticPoissonprocess(DSPP).Thenewproductmarketintroductionisthoughtofasoptiononanoption(acompoundoption).ThispaperderivesananalyticapproximationvaluationformulafortheR&Doption,anddemonstratesthattheaccountsforheterogeneousinformationarrivalmayreducethepricingbiases.Thisway,thegapbetweenrealoptiontheoryandthepracticeofdecisionmakingwithrespecttoinvestmentinR&Disdiminished.
简介:BytheSchauder-Tychonofffixed-pointtheorem,weinvestigatetheexistenceandasymptoticbehaviorofpositiveradialsolutionsoffullynonlinearellipticequationsinR^n.WegivesomesufficientconditionstoguaranteetheexistenceofboundedandunboundedradialsolutionsandconsiderthenonexistenceofpositivesolutioninR^n.
简介:AnexampleofcompletsRiemannianmetricofpositive(ornonnagative)curvatureonR^nsuchasds^2=a(x)dx^2isobtainedbydirectcaculations.Furthermore,byusingageodesicconvexconditionandatheoremforcompletenoncompactRiemannianmanifold,anexistenceresultofperiodicsulutionofprescribedenergyforasingularHamiltoniansystemisalsoobtained.
简介:LongtimebehaviorofdegenerateequationswiththenonlinearityofpolynomialgrowthofarbitraryorderonthewholespaceRNisconsidered.Byusing-trajectoriesmethods,weprovedthatweaksolutionsgeneratedbydegenerateequationspossessan(L2U(RN),L2loc(RN))-globalattractor.Moreover,theupperboundsoftheKolmogorovε-entropyforsuchglobalattractorarealsoobtained.