Exponentially Stable Stationary Solutions for Stochastic Evolution Equations and Their Perturbation

[1]  T. Kurtz,et al.  Stochastic equations in infinite dimensions , 2006 .

[2]  Tusheng Zhang,et al.  The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Dif , 2008 .

[3]  F. Flandoli,et al.  Stationary Conjugation of Flows for Parabolic SPDEs with Multiplicative Noise and Some Applications , 2004 .

[4]  L. Arnold.  Random Dynamical Systems , 2003 .

[5]  A. Kwiecińska,et al.  Stabilization of evolution equations by noise , 2002 .

[6]  Lyapunov functions and non-trivial stationary solutions of stochastic differential equations , 2001 .

[7]  T. Caraballo,et al.  COMPARISON OF THE LONG-TIME BEHAVIOR OF LINEAR ITO AND STRATONOVICH PARTIAL DIFFERENTIAL EQUATIONS , 2001 .

[8]  Xuerong Mao,et al.  On stabilization of partial differential equations by noise , 2001, Nagoya Mathematical Journal.

[9]  Xuerong Mao,et al.  Exponential stability of non-linear stochastic evolution equations , 1998 .

[10]  Hans Crauel,et al.  Random attractors , 1997 .

[11]  F. Flandoli,et al.  Random attractors for the 3D stochastic Navier-Stokes equation with multiplicative white noise , 1996 .

[12]  Wilfried Grecksch,et al.  Stochastic Evolution Equations: A Hilbert Space Approach , 1995 .

[13]  T. Caraballo,et al.  On the pathwise exponential stability of non–linear stochastic partial differential equations , 1994 .

[14]  Richard E. Mortensen,et al.  Infinite-Dimensional Dynamical Systems in Mechanics and Physics (Roger Temam) , 1991, SIAM Rev..

[15]  E. Zeidler.  Nonlinear functional analysis and its applications , 1988 .

[16]  B. Øksendal.  Stochastic Differential Equations , 1985 .

[17]  R. Dautray,et al.  Analyse mathématique et calcul numérique pour les sciences et les techniques , 1984 .

[18]  H. Brezis.  Analyse fonctionnelle : théorie et applications , 1983 .

[19]  A. Ichikawa.  Stability of semilinear stochastic evolution equations , 1982 .

[20]  P. Chow,et al.  Stability of nonlinear stochastic-evolution equations , 1982 .

[21]  R. Khasminskii.  Stochastic Stability of Differential Equations , 1980 .

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

[23]  C. Castaing,et al.  Convex analysis and measurable multifunctions , 1977 .