Adelaide Research & Scholarship
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https://hdl.handle.net/2440/24108
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| Type: | Journal article |
| Title: | Prolongations of geometric overdetermined systems |
| Author: | Branson, T. Cap, A. Eastwood, Michael George Gover, A. Rod |
| Citation: | International Journal of Mathematics, 2006; 17 (6):641-664 |
| Publisher: | World Scientific |
| Issue Date: | 2006 |
| ISSN: | 0129-167X |
| School/Discipline: | School of Mathematical Sciences : Pure Mathematics |
| Statement of Responsibility: | Thomas Brason, Andreas Čap, Michael Eastwood and A. Rod Gover |
| Abstract: | We show that a wide class of geometrically defined overdetermined semilinear partial differential equations may be explicitly prolonged to obtain closed systems. As a consequence, in the case of linear equations we extract sharp bounds on the dimension of the solution space. |
| Keywords: | Prolongation; overdetermined; semilinear; partial differential equation |
| Description: | © World Scientific Publishing Company |
| DOI: | 10.1142/S0129167X06003655 |
| Published version: | http://www.worldscinet.com/ijm/ijm.shtml |
| Appears in Collections: | Pure Mathematics publications |
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