Scattering of Wave Maps from $\mathbb R^{2+1}$ to general targets

Details Scattering of Wave Maps from $\mathbb R^{2+1}$ to general targets Scattering of Wave Maps from $\mathbb R^{2+1}$ to general targets

2010-12-01

arxiv.org/abs/1012.0336v2

Mathematics

Analysis of PDEs

Scientific paper

We show that smooth, radially symmetric wave maps $U$ from $\mathbb R^{2+1}$ to a compact target manifold $N$, where $\partial_r U$ and $\partial_t U$ have compact support for any fixed time, scatter. The result will follow from the work of Christodoulou and Tahvildar-Zadeh, and Struwe, upon proving that for $\lambda' \in (0,1)$, energy does not concentrate in the set $$K_{5/8T,7/8T}^{\lambda'} = {(x,t) \in \mathbb R^{2+1} | {5pt} |x| \leq \lambda' t, t \in [(5/8)T,(7/8)T]}.$$

Affiliated with

Also associated with

No associations

Rating

Scattering of Wave Maps from $\mathbb R^{2+1}$ to general targets 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 Scattering of Wave Maps from $\mathbb R^{2+1}$ to general targets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scattering of Wave Maps from $\mathbb R^{2+1}$ to general targets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-602541