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Propagation of \(C^{\infty}\)-singularities for a class of hyperbolic operators with double characteristics. (English) Zbl 0724.35063

Recent developments in hyperbolic equations, Proc. Conf., Pisa/Italy 1987, Pitman Res. Notes Math. Ser. 183, 255-264 (1988).
[For the entire collection see Zbl 0713.00007.]
We give an exterior estimate of the \(C^{\infty}\)-wave front set for the solutions of a class of hyperbolic (pseudo)-differential equations with double characteristic. Detailed proofs will appear.

MSC:

35L25 Higher-order hyperbolic equations
35B65 Smoothness and regularity of solutions to PDEs
35S05 Pseudodifferential operators as generalizations of partial differential operators

Citations:

Zbl 0713.00007