Stabilization by multiplicative Itô noise for Chafee-Infante equation in perforated domains

DOI10.1016/j.aml.2023.108944arXiv2309.01510OpenAlexW4389166152MaRDI QIDQ6202725

Bao Quoc Tang, Ly Hong Hai

Publication date: 27 February 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.01510

zbMATH Keywords

perforated domainsstabilization by noiseasymptotic behaviour of eigenvalues

Mathematics Subject Classification ID

Controllability (93B05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Stochastic stability in control theory (93E15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

• Unnamed Item
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• An asymptotic formula for the eigenvalues of the Laplacian in a domain with a small hole
• Singular variation of domains and eigenvalues of the Laplacian
• On stability for a class of semilinear stochastic evolution equations
• Stabilization of partial differential equations by noise
• Approximation of Dirichlet eigenvalues on domains with small holes
• Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains
• Stabilisation by noise on the boundary for a Chafee-Infante equation with dynamical boundary conditions
• Stochastic stabilization of differential systems with general decay rate
• Stabilisation of linear PDEs by Stratonovich noise
• Theory of capacities
• On stabilization of partial differential equations by noise
• Stochastic Differential Equations in Infinite Dimensions
• The effect of noise on the Chafee-Infante equation: A nonlinear case study
• Stabilization of Linear Systems by Noise
• ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES
• Stochastic partial differential equations and filtering of diffusion processes
• Stabilization by Noise Revisited
• Approximate Boundary Controllability for the Wave Equation in Perforated Domains
• Stabilization of evolution equations by noise
• ASYMPTOTIC PROBLEMS CONNECTED WITH THE HEAT EQUATION IN PERFORATED DOMAINS
• Stabilization and Destabilization of Nonlinear Differential Equations by Noise
• Parameter estimation for the heat equation on perforated domains

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