Existence and uniqueness of solutions to stochastic heat equations with Markovian switching and Feller property

Fan, Q. (2018) Existence and uniqueness of solutions to stochastic heat equations with Markovian switching and Feller property. Stochastic Analysis and Applications, 36(6), pp. 1006-1020. (doi: 10.1080/07362994.2018.1524302)

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Abstract

In this paper, we focus on two-component Markov processes which consist of continuous dynamics and discrete events. Using the classical fixed point theorem for contractions to investigate the existence and uniqueness of solutions of stochastic heat equations with Markovian switching, then developing the corresponding the Feller property of the solution.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Fan, Ms Qianzhu
Authors: Fan, Q.
College/School:UNSPECIFIED
Journal Name:Stochastic Analysis and Applications
Publisher:Taylor and Francis
ISSN:0736-2994
ISSN (Online):1532-9356
Published Online:25 October 2018
Copyright Holders:Copyright © 2018 Taylor and Francis
First Published:First published in Stochastic Analysis and Applications 36(6):1006-1020
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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