Singularities of Solutions to the Cauchy Problem for a Class of Second-Order Hyperbolic Operators

Author:

Wakabayashi Seiichiro1

Affiliation:

1. University of Tsukuba

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference12 articles.

1. [1] Chazarain, J., Reflection of C singularities for a class of operators with multiple characteristics, Publ. Res. Inst. Math. Sci., 12 suppl., (1977), 39-52.

2. [2] Hörmander, L., The Analysis of Linear Partial Differential Operators, I, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 256, Springer-Verlag, Berlin, 1983.

3. [3] Hörmander, L., The Analysis of Linear Partial Differential Operators, III, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 274, Springer-Verlag, Berlin, 1985.

4. [4] Kajitani, K. and Wakabayashi, S., Propagation of singularities for several classes of pseudodifferential operators, Bull. Sc. Math., 115 (1991), 397-449.

5. [5] Köthe, G., Topological Vector Spaces, I, Die Grundlehren der Mathematischen Wissenschaften, Band 159, Springer-Verlag New York Inc., New York, 1969.

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