Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation

Details Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation

2011-09-24

arxiv.org/abs/1109.5291v1

Mathematics

Analysis of PDEs

51 pages

Scientific paper

Inspired by the work of Zhidkov on the KdV equation, we perform a construction of weighted gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. The resulting measures are supported by Sobolev spaces of increasing regularity. We also prove a property on the support of these measures leading to the conjecture that they are indeed invariant by the flow of the Benjamin-Ono equation.

Affiliated with

Also associated with

No associations

Rating

Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation 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 Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-602733