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math-ph2007★ 12 cited
The wave equation on singular space-times
James D. E. Grant, Eberhard Mayerhofer, Roland Steinbauer
We prove local unique solvability of the wave equation for a large class of weakly singular, locally bounded space-time metrics in a suitable space of generalised functions.
math-ph2006★ 1 cited
On Lorentz geometry in algebras of generalized functions
Eberhard Mayerhofer
We introduce a concept of causality in the framework of generalized pseudo-Riemannian Geometry in the sense of J.F. Colombeau and establish the inverse Cauchy-Schwarz inequality in…