The qualitative properties of local random invariant manifolds for stochastic partial differential equations with quadratic nonlinearities and multiplicative noise is studied by a cut off technique. By detailed estimates on the Perron fixed point equation describing the local random invariant manifold, the structure near a bifurcation is given
We provide necessary and sufficient conditions for stochastic invariance of finite dimensional subma...
A stochastic partial differential equation (SPDE) is a partial differential equation containing a ra...
In this paper we develop a new approach to nonlinear stochastic partial differential equations with ...
The qualitative properties of local random invariant manifolds for stochastic partial differential e...
First Published Online 2009The qualitative properties of local random invariant manifolds for stocha...
Invariant manifolds provide the geometric structures for describing and understanding dynamics of no...
Randomness or uncertainty is ubiquitous in scientic and engineering systems. Stochastic ef-fects are...
AbstractIn this paper, we consider a class of stochastic wave equations with nonlinear multiplicativ...
This first volume is concerned with the analytic derivation of explicit formulas for the leading-ord...
Abstract. Part I of this article is devoted to the leading order approximations of stochastic critic...
Random invariant manifolds provide geometric structures for understanding stochastic dynamics. In th...
The main objective of the talk is to characterize the pathwise local structure of solutions of semil...
New results pertaining to the invariant manifolds of stochastic partial differential equations are p...
Following Parisi & Wu's paradigm of stochastic quantization, we constructed in [6] a Φ 4 measure on ...
Abstract. It is frequently the case that a white-noise-driven parabolic and/or hyperbolic stochastic...
We provide necessary and sufficient conditions for stochastic invariance of finite dimensional subma...
A stochastic partial differential equation (SPDE) is a partial differential equation containing a ra...
In this paper we develop a new approach to nonlinear stochastic partial differential equations with ...
The qualitative properties of local random invariant manifolds for stochastic partial differential e...
First Published Online 2009The qualitative properties of local random invariant manifolds for stocha...
Invariant manifolds provide the geometric structures for describing and understanding dynamics of no...
Randomness or uncertainty is ubiquitous in scientic and engineering systems. Stochastic ef-fects are...
AbstractIn this paper, we consider a class of stochastic wave equations with nonlinear multiplicativ...
This first volume is concerned with the analytic derivation of explicit formulas for the leading-ord...
Abstract. Part I of this article is devoted to the leading order approximations of stochastic critic...
Random invariant manifolds provide geometric structures for understanding stochastic dynamics. In th...
The main objective of the talk is to characterize the pathwise local structure of solutions of semil...
New results pertaining to the invariant manifolds of stochastic partial differential equations are p...
Following Parisi & Wu's paradigm of stochastic quantization, we constructed in [6] a Φ 4 measure on ...
Abstract. It is frequently the case that a white-noise-driven parabolic and/or hyperbolic stochastic...
We provide necessary and sufficient conditions for stochastic invariance of finite dimensional subma...
A stochastic partial differential equation (SPDE) is a partial differential equation containing a ra...
In this paper we develop a new approach to nonlinear stochastic partial differential equations with ...