Feynman–Kac representation of parabolic Anderson equations with general Gaussian noise

UDC 519.21 We provide the Feynman–Kac representation for the parabolic Anderson equations driven by a general Gaussian noise. As a feature of the idea, we can mention the argument of subadditivity in establishing the required exponential integrability.

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Bibliographic Details
Date:2023
Main Author: Chen, Xia
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2023
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7475
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal