旋转面上共旋波映射的全爆破域
Full blow-up range for co-rotaional wave maps to surfaces of revolution
摘要：
当$\mathcal{N}$是旋转曲面时，我们构造了能量临界波映象方程在$t^{-1-ν}$上具有多项式爆破速率的爆破解.在这里，我们将Cârstea基于Krieger，Schlag和Tataru的工作发现的爆破范围（$ν>\frac 12$）扩展到$ν>0$。本文的工作依赖于并推广了Krieger和作者最近的结果，其中目标流形被选为标准球面。
英文摘要：
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 ($t^{-1-ν}$ 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 Cârstea ($ν>\frac 12$) based on the work by Krieger, Schlag and Tataru to $ν>0$. This work relies on and generalizes the recent result of Krieger and the author where the target manifold is chosen as the standard sphere.
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