Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions

Details Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions

2009-06-16

arxiv.org/abs/0906.2833v2

Mathematics

Analysis of PDEs

36 pages, no figures. Will not be published in current form, pending future reorganisation of the heatwave project

Scientific paper

In the previous papers in this series, the global regularity conjecture for wave maps from two-dimensional Minkowski space $\R^{1+2}$ to hyperbolic space $\H^m$ was reduced to the problem of constructing a minimal-energy blowup solution which is almost periodic modulo symmetries in the event that the conjecture fails. In this paper, we show that this problem can be reduced further, to that of showing that solutions at the critical energy which are either frequency-delocalised, spatially-dispersed, or spatially-delocalised have bounded ``entropy''. These latter facts will be demonstrated in the final paper in this series.

Affiliated with

Also associated with

No associations

Rating

Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions 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 Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-475241