SPECTRAL PROPERTIES AND LINEAR STABILITY OF SELF-SIMILAR WAVE MAPS

DOI10.1142/S0219891609001812zbMath1183.35074arXiv0710.3703MaRDI QIDQ3397584

Roland Donninger, Peter C. Aichelburg

Publication date: 22 September 2009

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3703

zbMATH Keywords

linear stabilityco-rotational wave mapslinear Cauchy problem

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) General topics in linear spectral theory for PDEs (35P05) Wave equation (35L05) General theory of ordinary differential operators (47E05) Self-similar solutions to PDEs (35C06)

Related Items (3)

A class of large global solutions for the wave-map equation ⋮ On stable self-similar blow up for equivariant wave maps: the linearized problem ⋮ On stable self-similar blowup for equivariant wave maps

Cites Work

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• Global existence of harmonic maps in minkowski space
• Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere
• Global regularity of wave maps. II: Small energy in two dimensions

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