We investigate the existence, uniqueness and exponential stability of non-constant stationary solutions of stochastic semilinear evolution equations. Our main result shows, in particular, that noise can have a stabilization effect on deterministic equations. Moreover, we do not require any commutative condition on the noise terms
AbstractSufficient conditions for almost surely asymptotic stability with a certain decay function o...
International audienceSelf-stabilizing diffusions are stochastic processes, solutions of nonlinear s...
We prove global well-posedness for a class of dissipative semilinear stochastic evolution equations ...
We consider the exponential stability of stochastic evolution equations with Lipschitz continuous no...
Some results on stabilization of (deterministic and stochastic) partial differential equations are e...
Under a one-sided dissipative Lipschitz condition on its drift, a stochastic evolution equation with...
We prove existence and uniqueness of strong solutions for a class of semilinear stochastic evolution...
In this paper we establish some su cient conditions ensuring almost sure practical asymptotic stabil...
This paper considers the stabilisation and destabilisa- tion by a Brownian noise perturbation which ...
Some sufficient conditions concerning stability of solutions of stochastic differential evolution eq...
Some results concerning the stability and stabilisation of stochastic linear partial differential eq...
The main aim of this thesis is to examine stability properties of the solutions to stochastic diffe...
We consider a 2-dimensional stochastic differential equation in polar coordinates depending on sever...
We consider the exponential stability of semilinear stochastic evolution equations with delays when ...
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of m...
AbstractSufficient conditions for almost surely asymptotic stability with a certain decay function o...
International audienceSelf-stabilizing diffusions are stochastic processes, solutions of nonlinear s...
We prove global well-posedness for a class of dissipative semilinear stochastic evolution equations ...
We consider the exponential stability of stochastic evolution equations with Lipschitz continuous no...
Some results on stabilization of (deterministic and stochastic) partial differential equations are e...
Under a one-sided dissipative Lipschitz condition on its drift, a stochastic evolution equation with...
We prove existence and uniqueness of strong solutions for a class of semilinear stochastic evolution...
In this paper we establish some su cient conditions ensuring almost sure practical asymptotic stabil...
This paper considers the stabilisation and destabilisa- tion by a Brownian noise perturbation which ...
Some sufficient conditions concerning stability of solutions of stochastic differential evolution eq...
Some results concerning the stability and stabilisation of stochastic linear partial differential eq...
The main aim of this thesis is to examine stability properties of the solutions to stochastic diffe...
We consider a 2-dimensional stochastic differential equation in polar coordinates depending on sever...
We consider the exponential stability of semilinear stochastic evolution equations with delays when ...
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of m...
AbstractSufficient conditions for almost surely asymptotic stability with a certain decay function o...
International audienceSelf-stabilizing diffusions are stochastic processes, solutions of nonlinear s...
We prove global well-posedness for a class of dissipative semilinear stochastic evolution equations ...
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