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Global solution of the wave equation. (English) Zbl 0719.58041

Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1990, Exp. No. 18, 9 p. (1990).
The main result is that it is possible to parametrize the family of Lagrangian manifolds associated with the Schrödinger operator on a Riemannian manifold globally with a complex-valued generating function.

MSC:

58J60 Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)
35L05 Wave equation