Shigeo Tarama
Abstract:
We consider the Goursat problem for second order operators and
show existence and uniqueness of smooth solutions.
We prove one of the results of Hasegawa (J. Math. Soc. Japan 50 (1998),
no. 3, 639--662) by the energy method.
The same method is applied when one of the surfaces where
the Goursat data are given is a non-characteristic.
Submitted October 23, 2001. Published June 6, 2002.
Math Subject Classifications: 35L20.
Key Words: Goursat problem, C^{\infty}-wellposed.
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