Document Zbl 0471.35003

Branching of singularities for degenerate hyperbolic operators and Stokes phenomena. (English) Zbl 0471.35003

Proc. Japan Acad., Ser. A 56, 206-209 (1980).

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MSC:

35A20	Analyticity in context of PDEs
35A22	Transform methods (e.g., integral transforms) applied to PDEs
35L80	Degenerate hyperbolic equations

Keywords:

Fourier’s transformation; branching singularities; degenerate hyperbolic operators; Stokes phenomenon; Cauchy’s problem

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References:

[1]	S. Alinhac: Branching of singularities for a class of hyperbolic operators. Indiana Univ. Math. J., 27, 1027-1037 (1978). · Zbl 0502.35058 · doi:10.1512/iumj.1978.27.27071
[2]	H. Kumano-go, K. Taniguchi, and Y. Tozaki: Multiproducts of phase functions for Fourier integral operators with an application. Comm. in P.D.E., 3, 349-380 (1978). · Zbl 0383.35073 · doi:10.1080/03605307808820069
[3]	G. Nakamura and H. Uryu: Parametrix of certain weakly hyperbolic operators (to appear). · Zbl 0445.35083 · doi:10.1080/03605308008820156
[4]	K. Okubo and M. Kohno: Asymptotic Expansions. Kyoiku Shuppan, Tokyo (1976) (in Japanese).
[5]	K. Taniguchi and Y. Tozaki: A hyperbolic equation with double characteristics which has a solution with branching singularities (to appear). · Zbl 0441.35040
[6]	W. Wasow: Asymptotic Expansions for Ordinary Differential Equations. Interscience (1965). · Zbl 0169.10903

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