Doubly Damped Stochastic Parallel translations and Hessian formulas
File(s)
Accepted version
Author(s)
Li, X-M
Type
Conference Paper
Abstract
We study the Hessian of the solutions of time-independent Schrodinger ¨ equations, aiming to obtain as large a class as possible of complete Riemannian manifolds for which the estimateC( 1 t + d 2 t 2 ) holds. For this purpose we introduce the doubly damped stochastic parallel transport equation, study them and make exponential estimates on them, deduce a second order Feynman-Kac formula and obtain the desired estimates. Our aim here is to explain the intuition, the basic techniques, and the formulas which might be useful in other studies.
Date Acceptance
2017-10-13
Journal / Book Title
Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner - Bielefeld, Germany, October 2016.
Replaces
10044/1/52556
Copyright Statement
© the Authors
Source
Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner
Subjects
math.PR
60Gxx, 60Hxx, 58J65, 58J70
Start Date
2016-10-10
Finish Date
2016-10-14
Coverage Spatial
Bielefeld, Germany