Stability and convergence via Lyapunov-like functionals of stochastic parabolic partial differential equations

DOI10.1016/j.amc.2003.08.032zbMath1071.60052OpenAlexW2060511030MaRDI QIDQ1888515

Yanyan Li

Publication date: 23 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.032

zbMATH Keywords

Wiener processcomparison theorem\(p\)th moment stability\(p\)th moment convergenceLyapunov-type functional

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (7)

Robust control design for nonlinear stochastic partial differential systems with Poisson noise: fuzzy implementation ⋮ Stability and convergence via Lyapunov-like functionals of stochastic parabolic partial differential equations ⋮ Convergence and stability of stochastic parabolic functional differential equations ⋮ Lyapunov functionals vs Lyapunov functions for various types of stability of hybrid stochastic differential equation ⋮ Quantitative analysis of hybrid parabolic systems with Markovian regime switching via practical stability ⋮ Stability and Convergence Results for Itô-Type Parabolic Partial Differential Equations in Hilbert Spaces ⋮ Itô-Type Stochastic Parabolic Partial Differential Equations in Hilbert Spaces: Stability and Convergence Results via Lyapunov-Like Functions

Cites Work

• Stability and convergence via Lyapunov-like functionals of stochastic parabolic partial differential equations
• Stability analysis of hereditary iterative processes
• Nonlinear stochastic PDEs. Hydrodynamic limit and Burgers' turbulence. Based on the proceedings of a workshop held at IMA, University of Minnesota, MN, USA during the 1993-94 IMA program on emerging applications of probability
• Convergence and stability analysis of system of partial differential equations under Markovian structural perturbations–i: vector lyapunov–like functions
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