首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Asymptotic expansions for ornstein-uhlenbeck semigroups perturbed by potentials over banach spaces
Abstract:An asymptotic expansion of Schilder-type integrals with general phase function on abstract Wiener spaces is given and good control on remainders is obtained. For Ornstein –Uhlenbeck semigroups perturbed by potentials on Banach spaces the asymptotic expansion is given in terms of explicitly discussed “classical orbits”, in the case of finitely many non-degenerate maxima of the phase function. A representation of the leading term by a solution of an infinite dimensional Sturm-Liouville problem is also provided
Keywords:Infinite-dimensional Wiener integrals  Ornstein-Uhlenbeck semigroup  Perturbation  asymptotic expansion  classical dynamical systems  infinite-dimensional Sturm-Liouville problem  AMS Classifications Index: 28  46  60  60Hxx  28C20  41A60  35C20  70-XX
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号