| Автор | L J Alty |
| Автор | C J Fewster |
| Дата выпуска | 1996-05-01 |
| dc.description | We make a rigorous study of classical field equations on a two-dimensional signature-changing spacetime using the techniques of operator theory. Boundary conditions at the surface of signature change are determined by forming self-adjoint extensions of the Schrödinger Hamiltonian. We show that the initial-value problem for the Klein - Gordon equation on this spacetime is ill-posed, in the sense that its solutions are unstable. Furthermore, if the initial data are smooth and compactly supported away from the surface of signature change, the solution has a divergent -norm after finite time. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Initial-value problems and signature change |
| Тип | paper |
| DOI | 10.1088/0264-9381/13/5/024 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 13 |
| Первая страница | 1129 |
| Последняя страница | 1147 |
| Выпуск | 5 |
