Stabilization of evolution equations by noise

DOI10.1090/S0002-9939-02-06443-2zbMath1003.35074OpenAlexW1544112933MaRDI QIDQ4536071

Anna A. Kwiecińska

Publication date: 17 June 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06443-2

zbMATH Keywords

Wiener processLyapunov exponents

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) A priori estimates in context of PDEs (35B45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (9)

The exponential stability for stochastic delay partial differential equations ⋮ Pathwise stability of degenerate stochastic evolutions ⋮ Stabilization by multiplicative Itô noise for Chafee-Infante equation in perforated domains ⋮ Almost sure exponential stabilisation of stochastic systems by state-feedback control ⋮ Lyapunov exponents of hybrid stochastic heat equations ⋮ Stabilization of Partial Differential Equations by Lévy Noise ⋮ Stability of non-densely defined semilinear stochastic evolution equations with application to the stochastic age-structured model ⋮ Exponential stability of nonautonomous stochastic partial differential equations with finite memory ⋮ Stabilisation of linear PDEs by Stratonovich noise

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• Lyapunov Exponent and Rotation Number of Two-Dimensional Linear Stochastic Systems with Small Diffusion
• Stability of solution to semilinear stochastic evolution equations
• Lyapunov Exponents and Rotation number of Two-Ddimensional Systems with Telegraphic Noise
• Stochastic Equations in Infinite Dimensions

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