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

M. Fkirine; S. Hadd; A. Rhandi

doi:10.1007/s00030-025-01032-y

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

M. Fkirine
, S. Hadd
, A. Rhandi^*

^*Tämän työn vastaava kirjoittaja

Tutkimustuotos: Artikkeli › Tieteellinen › vertaisarvioitu

1 Sitaatiot (Scopus)

9 Lataukset (Pure)

Abstrakti

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.

Alkuperäiskieli	Englanti
Artikkeli	30
Sivut	1-27
Julkaisu	Nonlinear Differential Equations and Applications
Vuosikerta	32
Numero	2
DOI - pysyväislinkit	https://doi.org/10.1007/s00030-025-01032-y
Tila	Julkaistu - maalisk. 2025
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Julkaisufoorumi-taso

Jufo-taso 1

!!ASJC Scopus subject areas

Analysis
Applied Mathematics

Pääsy asiakirjaan

10.1007/s00030-025-01032-yLisenssi: CC BY

s00030-025-01032-yFinal published version, 469 KBLisenssi: CC BY

https://urn.fi/URN:NBN:fi:tuni-202503192885Lisenssi: CC BY

Siteeraa tätä

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title = "Impact of mixed boundary conditions on stochastic equations with noise at the boundary",

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.",

keywords = "Invariant measure, Mixed boundary conditions, Semigroups, Stochastic evolution equations, White noise",

author = "M. Fkirine and S. Hadd and A. Rhandi",

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doi = "10.1007/s00030-025-01032-y",

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T1 - Impact of mixed boundary conditions on stochastic equations with noise at the boundary

AU - Fkirine, M.

AU - Hadd, S.

AU - Rhandi, A.

N1 - Publisher Copyright: © The Author(s) 2025.

PY - 2025/3

Y1 - 2025/3

N2 - 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.

AB - 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.

KW - Invariant measure

KW - Mixed boundary conditions

KW - Semigroups

KW - Stochastic evolution equations

KW - White noise

U2 - 10.1007/s00030-025-01032-y

DO - 10.1007/s00030-025-01032-y

M3 - Article

AN - SCOPUS:85218685834

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JO - Nonlinear Differential Equations and Applications

JF - Nonlinear Differential Equations and Applications

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ER -

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

Abstrakti

Julkaisufoorumi-taso

!!ASJC Scopus subject areas

Pääsy asiakirjaan

Sormenjälki

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