On the stability of stationary wave maps

DOI10.1007/s002200050089zbMath0877.58054OpenAlexW2003447438MaRDI QIDQ1357452

A. Shadi Tahvildar-Zadeh, Jalal Shatah

Publication date: 14 December 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050089

zbMATH Keywords

stabilityequivariant wave mapsequivariant perturbations

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Hyperbolic equations on manifolds (58J45)

Related Items (5)

On global dynamics of Schrödinger map flows on hyperbolic planes near harmonic maps ⋮ Profiles of bounded radial solutions of the focusing, energy-critical wave equation ⋮ Renormalization and blow-up for wave maps from 𝑆²×ℝ to 𝕊² ⋮ On Schrödinger maps ⋮ Stability of stationary wave maps from a curved background to a sphere

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