Global weak solutions for 1+2 dimensional wave maps into homogeneous spaces

DOI10.1016/S0294-1449(99)80023-7zbMath0997.58012OpenAlexW2011047586MaRDI QIDQ1300252

Yi Zhou

Publication date: 13 November 2002

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1999__16_4_411_0

zbMATH Keywords

Cauchy problemwave maps

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Hyperbolic equations on manifolds (58J45)

Related Items (2)

Schrödinger soliton from Lorentzian manifolds ⋮ Low regularity solutions for the wave map equation into the 2-D sphere

Cites Work

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• Boundary regularity and the Dirichlet problem for harmonic maps
• Global weak solutions of the wave map system to compact homogeneous spaces
• Uniqueness of weak solutions of \(1+1\) dimensional wave maps
• Regularity of weakly harmonic maps from a surface into a manifold with symmetries
• On the regularity of spherically symmetric wave maps
• On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space
• An L^p theorem for compensated compactness
• Weak solutions and development of singularities of the SU(2) σ‐model
• Space‐time estimates for null forms and the local existence theorem
• Local existence with minimal regularity for nonlinear wave equations

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