论文信息 - Stability of nonlinear stochastic-evolution equations

Stability of nonlinear stochastic-evolution equations

Abstract Criteria for boundedness, asymptotic stability of sample paths given by solutions to nonlinear stochastic-evolution equations are presented. The analysis is based on a functional Ito formula, Liapunov and related functionals, and generalization of methods developed in finite dimensions. Applications to parabolic Ito equations are given.

P. Chow | Pao Liu Chow

[1] J. Lions,et al. Équations Différentielles Opérationnelles Et Problèmes Aux Limites , 1961 .

[2] M. Pinsky. Stochastic stability and the dirichlet problem , 1974 .

[3] D. W. Stroock,et al. Multidimensional Diffusion Processes , 1979 .

[4] P. Chow,et al. Nonlinear reaction-diffusion models for interacting populations , 1978 .

[5] D. Dawson. Stochastic evolution equations and related measure processes , 1975 .

[6] P. Chow. FUNCTION-SPACE DIFFERENTIAL EQUATIONS ASSOCIATED WITH A STOCHASTIC PARTIAL DIFFERENTIAL EQUATION. , 1976 .

[7] E. Renshaw,et al. STOCHASTIC DIFFERENTIAL EQUATIONS , 1974 .

[8] Avner Friedman,et al. Partial differential equations , 1969 .

[9] A. Bensoussan,et al. Equations aux derivees partielles stochastiques non lineaires , 1972 .

[10] D. Dawson. Stochastic evolution equations , 1972 .

[11] P. Chow. Stochastic partial differential equations in turbulence related problems , 1978 .

[12] U. Haussmann. Asymptotic stability of the linear ito equation in infinite dimensions , 1978 .