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BibTex format

@inproceedings{Li:2018:10.1007/978-3-319-74929-7_22,
author = {Li, X-M},
doi = {10.1007/978-3-319-74929-7_22},
publisher = {Springer},
title = {Doubly damped stochastic parallel translations and Hessian formulas},
url = {http://dx.doi.org/10.1007/978-3-319-74929-7_22},
year = {2018}
}

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TY  - CPAPER
AB  - We study the Hessian of the solutions of time-independent Schrödinger equations, aiming to obtain as large a class as possible of complete Riemannian manifolds for which the estimate C(1t+d2t2) 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
AU  - Li,X-M
DO  - 10.1007/978-3-319-74929-7_22
PB  - Springer
PY  - 2018///
TI  - Doubly damped stochastic parallel translations and Hessian formulas
UR  - http://dx.doi.org/10.1007/978-3-319-74929-7_22
UR  - https://link.springer.com/chapter/10.1007/978-3-319-74929-7_22
ER  -

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Professor Xue-Mei Li

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