On the Goursat Problem for a Second Order Equation
Date
2002-06-06
Authors
Tarama, Shigeo
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Goursat problem, C^{\infty}-wellposed
Citation
Tarama, S. (2002). On the Goursat problem for a second order equation. <i>Electronic Journal of Differential Equations, 2002</i>(52), pp. 1-28.
Rights
Attribution 4.0 International