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Second microlocalization and propagation of singularities for semilinear hyperbolic equations. (English) Zbl 0669.35073
Hyperbolic equations and related topics, Proc. Taniguchi Int. Symp., Katata and Kyoto/Jap. 1984, 11-49 (1986).
[For the entire collection see Zbl 0643.00010.]
The interaction of three singularities along three characteristic surfaces is studied for the semilinear Klein-Gordon equation. The solution is regular outside these surfaces and the half light cone starting from their common point.
Reviewer: G.Boillat

MSC:
35L67 Shocks and singularities for hyperbolic equations
35L70 Second-order nonlinear hyperbolic equations
35B40 Asymptotic behavior of solutions to PDEs
35A30 Geometric theory, characteristics, transformations in context of PDEs