Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach.

1997 ◽  
Vol 92 (440) ◽  
pp. 1650
Author(s):  
A. Schottl ◽  
Helge Holden ◽  
Bernt Oksendal ◽  
Jan Uboe ◽  
Tuscheng Zhang
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
White Noise ◽  
Stochastic Partial Differential Equations ◽  
Functional Approach ◽  
Partial Differential ◽  
White Noise Functional

INVARIANT FOLIATIONS FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

2008 ◽  
Vol 08 (03) ◽  
pp. 505-518 ◽  
Author(s):  
KENING LU ◽  
BJÖRN SCHMALFUß
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
White Noise ◽  
Stochastic Partial Differential Equations ◽  
Partial Differential ◽  
Invariant Foliation ◽  
All Solutions ◽  
Multiplicative White Noise ◽  
Long Term Behavior

In this paper, we study the existence of an invariant foliation for a class of stochastic partial differential equations with a multiplicative white noise. This invariant foliation is used to trace the long term behavior of all solutions of these equations.

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