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.