论文标题
循环时空中的小数据波图
Small Data Wave Maps in Cyclic Spacetime
论文作者
论文摘要
我们研究了在循环时段定义的带有目标riemannian歧管的波波图的初始值问题，该歧管响应于参数共振现象（请参阅自我连贯结构的定义）。特别是，对于任意平滑的初始数据，如果基本歧管的度量是定期的，我们构建了波图的解决方案。
We study the initial value problem for the wave maps defined on the cyclic spacetime with the target Riemannian manifold that is responsive (see definition of the self coherence structure) to the parametric resonance phenomena. In particular, for arbitrary small and smooth initial data we construct blowing up solutions of the wave map if the metric of the base manifold is periodic in time.
