POLYHOMOGENEOUS SOLUTIONS OF NONLINEAR WAVE EQUATIONS WITHOUT CORNER CONDITIONS

DOI10.1142/S0219891606000732zbMath1099.35154arXivmath/0506423MaRDI QIDQ5291596

Szymon Łȩski, Piotr T. Chrusciel

Publication date: 10 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0506423

zbMATH Keywords

vacuum Einstein equationsconformal methodsingular Cauchy problemspropagation of polyhomogeneity

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Singularity in context of PDEs (35A21)

Related Items (6)

Polyhomogeneous solutions of quasi-linear wave equations ⋮ Stability of Minkowski space and polyhomogeneity of the metric ⋮ Characteristic approach to the soliton resolution ⋮ Hamiltonian description of radiation phenomena: Trautman-Bondi energy and corner conditions ⋮ The Feynman propagator on perturbations of Minkowski space ⋮ SOLUTIONS OF QUASI-LINEAR WAVE EQUATIONS POLYHOMOGENEOUS AT NULL INFINITY IN HIGH DIMENSIONS

Cites Work

• Symmetries of cosmological Cauchy horizons
• Global solutions of Yang-Mills equations on anti-de Sitter spacetime
• Global solutions of nonlinear hyperbolic equations for small initial data
• Radiation fields
• Gravitational waves in general relativity XIV. Bondi expansions and the ‘polyhomogeneity’ of ℐ

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