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- W2005602263 abstract "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." @default.
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- W2005602263 title "Initial-value problems and signature change" @default.
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- W2005602263 doi "https://doi.org/10.1088/0264-9381/13/5/024" @default.
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