Global Existence of Small Equivariant Wave Maps on Rotationally Symmetric Manifolds

DOI10.1093/IMRN/RNV152zbMath1338.58019arXiv1505.01611OpenAlexW3106319354MaRDI QIDQ2797850

Piero D'Ancona, Qidi Zhang

Publication date: 1 April 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01611

zbMATH Keywords

global existencewave mapStrichartz estimatesasymptotically flat manifoldsadmissible manifoldsperturbations of real hyperbolic spacesrotationally invariant manifolds

Mathematics Subject Classification ID

Hyperbolic equations on manifolds (58J45) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (5)

Global Strichartz estimates for the Dirac equation on symmetric spaces ⋮ Small data wave maps in cyclic spacetime ⋮ Equivariant Schrödinger map flow on two dimensional hyperbolic space ⋮ Asymptotic stability of large energy harmonic maps under the wave map from 2D hyperbolic spaces to 2D hyperbolic spaces ⋮ Global existence of Dirac-wave maps with curvature term on expanding spacetimes

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