On the pathwise exponential stability of non–linear stochastic partial differential equations

DOI10.1080/07362999408809370zbMath0808.93069OpenAlexW2091295091MaRDI QIDQ4314522

José Real, Tomás Caraballo Garrido

Publication date: 9 March 1995

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/23691

zbMATH Keywords

pathwise exponential stabilitynonlinear monotone stochastic partial differential equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15)

Related Items (12)

Exponential stability in mean–square of parabolic quasilinear stochastic delay evolution equations ⋮ On exponential stability criteria of stochastic partial differential equations ⋮ The exponential stability for locally monotone stochastic partial differential equations ⋮ Exponential stability of numerical solutions to a stochastic age-structured population system with diffusion ⋮ Stability of non-densely defined semilinear stochastic evolution equations with application to the stochastic age-structured model ⋮ Stability in distribution of mild solutions to stochastic partial differential equations ⋮ Exponential stability of mild solutions of stochastic partial differential equations with delays ⋮ Stability of solution to semilinear stochastic evolution equations ⋮ Exponential stability of non-linear stochastic evolution equations ⋮ Almost sure exponential stability for stochastic partial functional differential equations^∗ ⋮ Asymptotic exponential stability for diffusion processes driven by stochastic differential equations in duals of nuclear spaces ⋮ Practical exponential stability in mean square of stochastic partial differential equations

Cites Work

• Stability of nonlinear stochastic-evolution equations
• Stability of semilinear stochastic evolution equations
• Asymptotic stability of the linear Ito equation in infinite dimensions
• Asymptotic exponential stability of stochastic partial differential equations with delay
• Exponential estimates in exit probability for some diffusion processes in hilbert spaces

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