Geophysical modelling with Colombeau functions: Microlocal properties and Zygmund regularity

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dc.creatorHoermann, G.
dc.creatorde Hoop, M. V.
dc.date2001-03-31
dc.date2001-07-12
dc.date.accessioned2026-07-07T04:40:55Z
dc.date.available2026-07-07T04:40:55Z
dc.descriptionIn global seismology Earth's properties of fractal nature occur. Zygmund classes appear as the most appropriate and systematic way to measure this local fractality. For the purpose of seismic wave propagation, we model the Earth's properties as Colombeau generalized functions. In one spatial dimension, we have a precise characterization of Zygmund regularity in Colombeau algebras. This is made possible via a relation between mollifiers and wavelets.
dc.descriptioncorrected Definition 13; updated Remark 5
dc.identifierhttps://arxiv.org/abs/math/0104007
dc.identifierhttp://arxiv.org/abs/math/0104007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61200
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject46F30; 35D10
dc.titleGeophysical modelling with Colombeau functions: Microlocal properties and Zygmund regularity
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