TY - EJOUR
AB - 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.
T1 - Full blow-up range for co-rotaional wave maps to surfaces of revolution
DA - 2014
AU - Gao, Can
JF - .... 2014
ID - 201709
KW - critical wave equation
KW - hyperbolic dynamics
KW - blowup
KW - scattering
KW - stability
KW - invariant manifold
UR - http://infoscience.epfl.ch/record/201709/files/1409.0672v1_1.pdf
ER -