We construct a distribution null-solution for {\em every} Fuchsian partial differential operator in the sense of Baouendi- Goulaouic with real-analytic coefficients, if the initial surface is characteristic. This construction is valid also for Fuchsian hyperbolic operators with $C^\infty$ coefficients considered by H. Tahara, and for some non-Fuchsian operators with real-analytic coefficients.
雑誌名
Journal of mathematical sciences, the University of Tokyo
Existence of Distribution Null-Solutions for Every Fuchsian Partial Differential Operator
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