The propagation of the wave fronts for a class of weakly hyperbolic equations. (English. Russian original) Zbl 0605.35056
Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 20, No. 1, 51-58 (1985); translation from Izv. Akad. Nauk Arm. SSR, Mat. 20, No. 1, 53-59 (1985).
The paper is devoted to the investigation of the branching of the singularities for a certain class of weakly hyperbolic equations with a degeneracy of a sufficiently general form, admitting a nontrivial factorization. Moreover, one considers both the case of a general powerlike and exponential degeneracies.
MSC:
| 35L67 | Shocks and singularities for hyperbolic equations |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35L80 | Degenerate hyperbolic equations |
