Global regularity of wave maps IV. Absence of stationary or self-similar solutions in the energy class

Details Global regularity of wave maps IV. Absence of stationary or self-similar solutions in the energy class Global regularity of wave maps IV. Absence of stationary or self-similar solutions in the energy class

2008-06-22

arxiv.org/abs/0806.3592v2

Mathematics

Analysis of PDEs

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 Will not be published in current form, pending future reorganisation of the heatwave project

Scientific paper

Using the harmonic map heat flow, we construct an energy class for wave maps $\phi$ from two-dimensional Minkowski space $\R^{1+2}$ to hyperbolic spaces $\H^m$, and then show (conditionally on a large data well-posedness claim for such wave maps) that no stationary, travelling, self-similar, or degenerate wave maps exist in this energy class. These results form three of the five claims required in our earlier paper (arXiv:0805.4666) to prove global regularity for such wave maps. (The conditional claim of large data well-posedness is one of the remaining claims required in that paper.)

Affiliated with

Also associated with

No associations

Rating

Global regularity of wave maps IV. Absence of stationary or self-similar solutions in the energy class 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 IV. Absence of stationary or self-similar solutions in the energy class, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global regularity of wave maps IV. Absence of stationary or self-similar solutions in the energy class will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-672594