Initial Value Problems and Signature Change
| dc.creator | Alty, L. J. | |
| dc.creator | Fewster, C. J. | |
| dc.date | 1995-01-22 | |
| dc.date | 1995-07-02 | |
| dc.date.accessioned | 2026-07-07T11:34:21Z | |
| dc.date.available | 2026-07-07T11:34:21Z | |
| dc.description | We make a rigorous study of classical field equations on a 2-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 is smooth and compactly supported away from the surface of signature change, the solution has divergent $L^2$-norm after finite time. | |
| dc.description | 33 pages, LaTeX The introduction has been altered, and new work (relating our previous results to continuous signature change) has been included | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9501026 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9501026 | |
| dc.identifier | Class.Quant.Grav.13:1129-1148,1996 | |
| dc.identifier | doi:10.1088/0264-9381/13/5/024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/198218 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Initial Value Problems and Signature Change | |
| dc.type | text |