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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| Format: | Article |
| Language: | English |
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Texas State University
2002-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/52/abstr.html |
| _version_ | 1818682267783921664 |
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| author | Shigeo Tarama |
| author_facet | Shigeo Tarama |
| author_sort | Shigeo Tarama |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-17T10:16:08Z |
| format | Article |
| id | doaj.art-5ae8bfd7ac354affbb6d3e72de036955 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-17T10:16:08Z |
| publishDate | 2002-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-5ae8bfd7ac354affbb6d3e72de0369552022-12-21T21:52:54ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-06-01200252128On the Goursat problem for a second order equationShigeo TaramaWe 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.http://ejde.math.txstate.edu/Volumes/2002/52/abstr.htmlGoursat problem$C^{infty}$-wellposed. |
| spellingShingle | Shigeo Tarama On the Goursat problem for a second order equation Electronic Journal of Differential Equations Goursat problem $C^{infty}$-wellposed. |
| title | On the Goursat problem for a second order equation |
| title_full | On the Goursat problem for a second order equation |
| title_fullStr | On the Goursat problem for a second order equation |
| title_full_unstemmed | On the Goursat problem for a second order equation |
| title_short | On the Goursat problem for a second order equation |
| title_sort | on the goursat problem for a second order equation |
| topic | Goursat problem $C^{infty}$-wellposed. |
| url | http://ejde.math.txstate.edu/Volumes/2002/52/abstr.html |
| work_keys_str_mv | AT shigeotarama onthegoursatproblemforasecondorderequation |