On the Goursat Problem for a Second Order Equation
dc.contributor.author | Tarama, Shigeo | |
dc.date.accessioned | 2020-08-10T21:11:37Z | |
dc.date.available | 2020-08-10T21:11:37Z | |
dc.date.issued | 2002-06-06 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 28 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Tarama, S. (2002). On the Goursat problem for a second order equation. Electronic Journal of Differential Equations, 2002(52), pp. 1-28. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/12351 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Goursat problem | |
dc.subject | C^{\infty}-wellposed | |
dc.title | On the Goursat Problem for a Second Order Equation | |
dc.type | Article |