On the breakdown criterion in general relativity

DOI10.1090/S0894-0347-09-00655-9zbMath1203.35084arXiv0801.1709OpenAlexW1988390308MaRDI QIDQ3584350

Igor Rodnianski, Sergiu Klainerman

Publication date: 27 August 2010

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1709

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) PDEs in connection with relativity and gravitational theory (35Q75)

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Cites Work

• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Causal geometry of Einstein-vacuum spacetimes with finite curvature flux
• Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\)
• A geometric approach to the Littlewood-Paley theory
• Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux
• Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
• A KIRCHOFF–SOBOLEV PARAMETRIX FOR THE WAVE EQUATION AND APPLICATIONS
• On the radius of injectivity of null hypersurfaces
• The Large Scale Structure of Space-Time
• On long-time evolution in general relativity and geometrization of 3-manifolds
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