Low regularity solutions for the wave map equation into the 2-D sphere

DOI10.1007/S00209-003-0558-3zbMath1063.35103OpenAlexW2081483171MaRDI QIDQ706086

Vladimir Georgiev, Piero D'Ancona

Publication date: 1 February 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-003-0558-3

zbMATH Keywords

self-similar solutionswell posednessill-posedness

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45)

Related Items (1)

On the existence of smooth self-similar blowup profiles for the wave map equation

Cites Work

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• The Cauchy problem for the O(N). CP(N-1), and GC(N,p) models
• Global weak solutions for 1+2 dimensional wave maps into homogeneous spaces
• On the regularity properties of a model problem related to wave maps
• Global existence of wave maps in 1+2 dimensions with finite energy data
• On global existence of solutions to nonlinear wave equations of wave map type
• On global existence and scattering for the wave maps equation
• On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space
• Weak solutions and development of singularities of the SU(2) σ‐model
• On the cauchy problem for equivariant wave maps
• Remark on the optimal regularity for equations of wave maps type
• The Wave map problem
• Global regularity of wave maps. II: Small energy in two dimensions

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