Stochastic Dirichlet-Poisson problem on Hilbert spaces

DOI10.1007/s11785-023-01438-5OpenAlexW4388671605MaRDI QIDQ6186074

Afef Ben Farah, Sonia Chaari

Publication date: 9 January 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-023-01438-5

zbMATH Keywords

existence and uniquenessprobabilistic formulaStochastic Dirichlet-Poisson problems on Hilbert spaces

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical solutions to stochastic differential and integral equations (65C30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Stochastic Optimal Control in Infinite Dimension
• Stochastic Differential Equations in Infinite Dimensions
• Dirichlet problem for parabolic equations on Hilbert spaces
• Stochastic differential equations. An introduction with applications.
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