Existence of Distribution Null-Solutions for Every Fuchsian Partial Differential Operator
Vol. 5 (1998), No. 1, Page 1--18.
Mandai, Takeshi
Existence of Distribution Null-Solutions for Every Fuchsian Partial Differential Operator
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Abstract:
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.
Mathematics Subject Classification (1991): Primary 35D05; Secondary 35A07, 35M99, 35L80
Mathematical Reviews Number: MR1617069
Received: 1997-04-17
