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Strong solutions to a class of boundary value problems on a mixed Riemannian-Lorentzian metric. (English) Zbl 1339.35196

Summary: A first-order elliptic-hyperbolic system in extended projective space is shown to possess strong solutions to a natural class of Guderley-Morawetz-Keldysh problems on a typical domain.

MSC:

35M32 Boundary value problems for mixed-type systems of PDEs
35Q75 PDEs in connection with relativity and gravitational theory
58J32 Boundary value problems on manifolds
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