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Research Article | Open Access

Reflected backward stochastic evolution equations with jumps in infinite dimensional domains

School of Mathematical Science, Changsha Normal University, Changsha, Hunan 410100, China
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Abstract

In this paper, we investigated a class of reflected backward stochastic evolution equations with jumps (RBSEEJs). Specifically, the solutions to these equations are constrained to the unit ball of a separable Hilbert space H. We established the existence and uniqueness of such solutions via the penalization method. Finally, an illustrative example demonstrates the applicability of the established theory.

Keywords

backward stochastic evolution equationPoisson random mesasurereflectionpenalizationprojection
CLC number: 35R60, 60H15

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AIMS Mathematics
Volume 11 Issue 6,
June 2026
Pages 18869-18884
DOI: 10.3934/math.2026768

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Cite this article:
Qian H. Reflected backward stochastic evolution equations with jumps in infinite dimensional domains. AIMS Mathematics, 2026, 11(6): 18869-18884. https://doi.org/10.3934/math.2026768

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Received: 30 March 2026
Revised: 26 May 2026
Accepted: 18 June 2026
Published: 15 June 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)