Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras

Eberhard Mayerhofer; James D.E. Grant

arxiv: 0711.1972 · v1 · submitted 2007-11-13 · 🧮 math.AP · math-ph· math.MP

Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras

James D.E. Grant , Eberhard Mayerhofer This is my paper

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keywords regularityalgebrasgeneralizedspace-timestheorywaveconcerningdevelopments

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We present recent developments concerning Lorentzian geometry in algebras of generalized functions. These have, in particular, raised a new interest in refined regularity theory for the wave equation on singular space-times.

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Wave equations on space-times of low regularity: Existence results and regularity theory in the framework of generalized function algebras

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