Invariant measures for nonlinear SPDE's: uniqueness and stability

Bohdan Maslowski; Jan Seidler

Displaying similar documents to “Invariant measures for nonlinear SPDE's: uniqueness and stability”

Asymptotic behaviour of stochastic quasi dissipative systems

Giuseppe Da Prato (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We prove uniqueness of the invariant measure and the exponential convergence to equilibrium for a stochastic dissipative system whose drift is perturbed by a bounded function.

Stability of semilinear equations with boundary and pointwise noise

Bohdan Maslowski (1995)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Stability of invariant measure of a stochastic differential equation describing molecular rotation

Bohdan Maslowski (1987)

Aplikace matematiky

Similarity:

Stability of an invariant measure of stochastic differential equation with respect to bounded pertubations of its coefficients is investigated. The results as well as some earlier author's results on Liapunov type stability of the invariant measure are applied to a system describing molecular rotation.

Stability of invariant sets of Itô stochastic differential equations with Markovian switching.

Luo, Jiaowan (2006)

Journal of Applied Mathematics and Stochastic Analysis

Similarity:

On a stochastic SIR model

Elisabetta Tornatore, Stefania Maria Buccellato (2007)

Applicationes Mathematicae

Similarity:

We consider a stochastic SIR system and we prove the existence, uniqueness and positivity of solution. Moreover the existence of an invariant measure under a suitable condition on the coefficients is studied.

An averaging principle for stochastic evolution equations. II.

Bohdan Maslowski, Jan Seidler, Ivo Vrkoč (1991)

Mathematica Bohemica

Similarity:

In the present paper integral continuity theorems for solutions of stochastic evolution equations of parabolic type on unbounded time intervals are established. For this purpose, the asymptotic stability of stochastic partial differential equations is investigated, the results obtained being of independent interest. Stochastic evolution equations are treated as equations in Hilbert spaces within the framework of the semigroup approach.