Stochastic systems governed by B-evolutions on Hilbert spaces

N. U. Ahmed; S. Kerbal

doi:10.1017/S0308210500026792

Stochastic systems governed by B-evolutions on Hilbert spaces

N. U. Ahmed^*, S. Kerbal

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, we consider the question of existence of solutions and their regularity properties for a large class of stochastic evolution equations governed by B-evolutions involving two different Hilbert spaces. This allows dynamic boundary conditions together with noisy boundary data. They cover also stochastic boundary value problems. Our results are illustrated by two practical examples.

Original language	English
Pages (from-to)	903-920
Number of pages	18
Journal	Royal Society of Edinburgh - Proceedings A
Volume	127
Issue number	5
DOIs	https://doi.org/10.1017/S0308210500026792
Publication status	Published - 1997
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Stochastic systems governed by B-evolutions on Hilbert spaces",

abstract = "In this paper, we consider the question of existence of solutions and their regularity properties for a large class of stochastic evolution equations governed by B-evolutions involving two different Hilbert spaces. This allows dynamic boundary conditions together with noisy boundary data. They cover also stochastic boundary value problems. Our results are illustrated by two practical examples.",

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AB - In this paper, we consider the question of existence of solutions and their regularity properties for a large class of stochastic evolution equations governed by B-evolutions involving two different Hilbert spaces. This allows dynamic boundary conditions together with noisy boundary data. They cover also stochastic boundary value problems. Our results are illustrated by two practical examples.

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M3 - Article

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JO - Royal Society of Edinburgh - Proceedings A

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Stochastic systems governed by B-evolutions on Hilbert spaces

Abstract

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