Year: 2010
Type: preprint
Abstract: We show that smooth, radially symmetric wave maps $U$ from $\mathbb R^{2+1}$ to a compact target manifold $N$, where $\partial_r U$ and $\partial_t U$ have compact support for any fixed time, scatter. The result will follow from the work of Christodoulou and Tahvildar-Zadeh, and Struwe, upon proving that for $λ' \in (0,1)$, energy does not concentrate in the set $$K_{5/8T,7/8T}^{λ'} = {(x,t) \in \mathbb R^{2+1} | {5pt} |x| \leq λ' t, t \in [(5/8)T,(7/8)T]}.$$
Source: arXiv (Cornell University)
Author: Nahas, Joules
Institution: École Polytechnique Fédérale de Lausanne
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949797407