Backward Uniqueness and the existence of the spectral limit for some parabolic SPDEs

Details Backward Uniqueness and the existence of the spectral limit for some parabolic SPDEs Backward Uniqueness and the existence of the spectral limit for some parabolic SPDEs

2008-06-03

arxiv.org/abs/0806.0616v2

Mathematics

Analysis of PDEs

31 pages;Major Changes: New theorem which covers the case of SPDEs with quadratic nonlinearity (such as stochastic Navier-Stok

Scientific paper

The aim of this article is to study the asymptotic behaviour for large times of solutions to a certain class of stochastic partial differential equations of parabolic type. In particular, we will prove the backward uniqueness result and the existence of the spectral limit for abstract SPDEs and then show how these results can be applied to some concrete linear and nonlinear SPDEs. For example, we will consider linear parabolic SPDEs with gradient noise and stochastic NSEs with multiplicative noise. Our results generalize the results proved in \cite{[Ghidaglia-1986]} for deterministic PDEs.

Affiliated with

Also associated with

No associations

Rating

Backward Uniqueness and the existence of the spectral limit for some parabolic SPDEs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Backward Uniqueness and the existence of the spectral limit for some parabolic SPDEs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Backward Uniqueness and the existence of the spectral limit for some parabolic SPDEs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-196186