Differential Equations with singular fields

Details Differential Equations with singular fields Differential Equations with singular fields

2010-03-30

arxiv.org/abs/1003.5845v1

Mathematics

Analysis of PDEs

Scientific paper

This paper investigates the well posedness of ordinary differential equations and more precisely the existence (or uniqueness) of a flow through explicit compactness estimates. Instead of assuming a bounded divergence condition on the vector field, a compressibility condition on the flow (bounded jacobian) is considered. The main result provides existence under the condition that the vector field belongs to $BV$ in dimension 2 and $SBV$ in higher dimensions.

Affiliated with

Also associated with

No associations

Rating

Differential Equations with singular fields 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 Differential Equations with singular fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Differential Equations with singular fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-81430