Bony, Jean-Michel 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 Cited in 5 ReviewsCited in 68 Documents 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 Keywords:interaction; singularities; characteristic surfaces; semilinear; Klein- Gordon equation; regular; half light cone Citations:Zbl 0643.00010 × Cite Format Result Cite Review PDF