On the Goursat problem for a second order equation

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...

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Bibliographic Details
Main Author: Shigeo Tarama
Format: Article
Language:English
Published: Texas State University 2002-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/52/abstr.html