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.
Lawrence Evans, Partial Differential Equations, Graduate Studies in Mathematics, V.19
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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.