Semi-global solutions exist in Sobolev spaces near intersecting characteristic hypersurfaces for hyper-quasilinear hyperbolic Goursat problems with linearly dependent principal coefficients, yielding a semi-global existence-uniqueness result for the vacuum Einstein equations.
Rendall,Reduction of the charactteristic initial value problem to the Cauchy problem and its applications to the Einstein Equations, Proc
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Semi-global solutions to the Goursat problem for second-order hyper-quasilinear hyperbolic systems with lineary dependent principal coefficients and applications to the vacuum Einstein equations
Semi-global solutions exist in Sobolev spaces near intersecting characteristic hypersurfaces for hyper-quasilinear hyperbolic Goursat problems with linearly dependent principal coefficients, yielding a semi-global existence-uniqueness result for the vacuum Einstein equations.