201709
20190317000007.0
ARTICLE
Full blow-up range for co-rotaional wave maps to surfaces of revolution
2014
2014
Journal Articles
We construct blow-up solutions of the energy critical wave map equation on $\mathbb{R}^{2+1}\to \mathcal N$ with polynomial blow-up rate ($t^{-1-\nu}$ for blow-up at $t=0$) in the case when $\mathcal N$ is a surface of revolution. Here we extend the blow-up range found by Carstea ($\nu>\frac 12$) based on the work by Krieger, Schlag and Tataru to $\nu>0$. This work relies on and generalizes the recent result of Krieger and the author where the target manifold is chosen as the standard sphere.
critical wave equation
hyperbolic dynamics
blowup
scattering
stability
invariant manifold
Gao, Can
210272
245741
.... 2014
n/a
217069
n/a
http://infoscience.epfl.ch/record/201709/files/1409.0672v1_1.pdf
PDE
252322
U12235
oai:infoscience.tind.io:201709
article
SB
GLOBAL_SET
178574
178574
178574
EPFL-ARTICLE-201709
EPFL
SUBMITTED
NON-REVIEWED
ARTICLE