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Stochastic Dirichlet–Poisson Problem on Hilbert Spaces

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Abstract

This paper is devoted to the study of the existence and the uniqueness of the solution of the Stochastic Dirichlet-Poisson problems on Hilbert spaces. We prove that the unique solution of this equation is given by a probabilistic formula.

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Funding

Analyse Stochastique et Applications, Code: LR11ES13, Faculty of Sciences of Tunis, University of El Manar Tunisia.

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Authors and Affiliations

  1. Faculty of Sciences of Bizerte, University of Carthage, Zarzouna, Tunisia

    Sonia Chaari & Afef Ben Farah

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  1. Sonia Chaari
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  2. Afef Ben Farah
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Correspondence to Sonia Chaari.

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The authors declare that they have no conflict of interest.

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Communicated by Daniel Alpay.

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This article is part of the topical collection “Infinite-dimensional Analysis and Non-commutative Theory (Marek Bozejko, Palle Jorgensen and Yuri Kondratiev”.

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Chaari, S., Ben Farah, A. Stochastic Dirichlet–Poisson Problem on Hilbert Spaces. Complex Anal. Oper. Theory 18, 1 (2024). https://doi.org/10.1007/s11785-023-01438-5

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  • DOI: https://doi.org/10.1007/s11785-023-01438-5

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