no code implementations • 16 Jul 2019 • Leonardo Enrique Abbrescia, Yuan Chen
We prove that wave maps that factor as $\mathbb{R}^{1+d} \overset{\varphi_{\text{S}}}{\to} \mathbb{R} \overset{\varphi_{\text{I}}}{\to} M$, subject to a sign condition, are globally nonlinear stable under small compactly supported perturbations when $M$ is a space-form.
Analysis of PDEs 35A23, 35B45, 35B35, 35L71