Gao, Can
Full blow-up range for co-rotaional wave maps to surfaces of revolution
.... 2014
.... 2014
.... 2014
.... 2014
critical wave equation
hyperbolic dynamics
blowup
scattering
stability
invariant manifold
2014
2014
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.
.... 2014
Journal Articles