Sticky-reflected stochastic heat equation driven by colored noise

UDC 519.21 We prove the existence of a sticky-reflected solution to the heat equation on the spatial interval $[0,1]$ driven by colored noise. The process can be interpreted as an infinite-dimensional analog of the sticky-reflected Brownian motion on the real line, but now the solution obeys the usu...

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Bibliographic Details
Date:2020
Main Author: Konarovskyi, V.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6282
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal