Search Results for author: Leonardo Enrique Abbrescia

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Global stability of some totally geodesic wave maps

no code implementations16 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

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