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Wave front set at infinity for tempered ultradistributions and hyperbolic equations

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Abstract

We study the propagation of singularities and the microlocal behaviour at infinity for the solution of the Cauchy problem associated to an SG-hyperbolic operator with one characteristic of constant multiplicity. We perform our analysis in the framework of tempered ultradistributions, cf. Introduction, using an appropriate notion of wave front set.

Keywords: Wave front set at infinity, Tempered ultradistributions, Hyperbolic equations

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  1. Dipartimento di Matematica, Università di Ferrara, Via Machiavelli 35, 44100 Ferrara, Italy

    Marco Cappiello

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Cappiello, M. Wave front set at infinity for tempered ultradistributions and hyperbolic equations. Ann. Univ. Ferrara 52, 247–270 (2006). https://doi.org/10.1007/s11565-006-0019-0

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