[00073] Scattering behavior for one dimensional wave maps into Riemannian manifolds
Session Time & Room : 2E (Aug.22, 17:40-19:20) @F310
Type : Contributed Talk
Abstract : In this talk, we explore the scattering behavior for wave maps from Minkowski space $\mathbb{R}^{1+1}$ into general Riemannian manifolds, provided the initial data are small. In particular, we show that the nonlinear scattering operator can be linearized as the corresponding linear scattering operator. The underlying physical intuition of this conclusion is that one-dimensional wave maps behave exactly in the same manner as their scattering fields detected by the far-away observers.