Work

Impact of mixed boundary conditions on stochastic equations with noise at the boundary

Year: 2025

Type: article

Abstract: In this paper, we study evolution equations that are perturbed at the boundary by both noise and an unbounded perturbation. First, using the theory of regular linear systems, we prove the existence of solutions to this equation. Second, we investigate the long-time behavior of the solutions, such as the absolute continuity and the existence of an invariant measure.

Source: Nonlinear Differential Equations and Applications NoDEA

DOI: 10.1007/s00030-025-01032-y

Authors: M. Fkirine, S. Hadd, A. Rhandi

Institutions: Tampere University, University of Tampere, Université Ibn Zohr, University of Salerno

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190