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On an explicit representation of the solution of linear stochastic partial differential equations with delays

By Mathieu Galtier and Jonathan Touboul

Abstract

Based on the analysis of a certain class of linear operators on a Banach space, we provide a closed form expression for the solutions of certain linear partial differential equations with non-autonomous input, time delays and stochastic terms, which takes the form of an infinite series expansion

Topics: Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis
Year: 2011
OAI identifier: oai:arXiv.org:1103.5859
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