Mathematics – Probability
Scientific paper
2010-07-23
Mathematics
Probability
Scientific paper
A linear stochastic transport equation with non-regular coefficients is considered. Under the same assumption of the deterministic theory, all weak $L^\infty$-solutions are renormalized. But then, if the noise is nondegenerate, uniqueness of weak $L^\infty$-solutions does not require essential new assumptions, opposite to the deterministic case where for instance the divergence of the drift is asked to be bounded. The proof gives a new explanation why bilinear multiplicative noise may have a regularizing effect.
Attanasio S.
Flandoli Franco
No associations
LandOfFree
Renormalized solutions for stochastic transport equations and the regularization by bilinear multiplicative noise 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 Renormalized solutions for stochastic transport equations and the regularization by bilinear multiplicative noise, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalized solutions for stochastic transport equations and the regularization by bilinear multiplicative noise will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-138830