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A measure theoretic approach to linear inverse atmospheric dispersion problems
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2015 (English)In: Inverse Problems, ISSN 0266-5611, E-ISSN 1361-6420, Vol. 31, no 2, 025009Article in journal (Refereed) Published
Abstract [en]

Using measure theoretic arguments, we provide a general framework for describing and studying the general linear inverse dispersion problem where no a priori assumptions on the source function has been made (other than assuming that it is indeed a source, i.e. not a sink). We investigate the source-sensor relationship and rigorously state solvability conditions for when the inverse problem can be solved using a least-squares optimization method. That is, we derive conditions for when the least-squares problem is well-defined.

Place, publisher, year, edition, pages
2015. Vol. 31, no 2, 025009
Keyword [en]
atmospheric dispersion, inverse problem, measure theory
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:umu:diva-100774DOI: 10.1088/0266-5611/31/2/025009ISI: 000349300400009OAI: oai:DiVA.org:umu-100774DiVA: diva2:800115
Available from: 2015-04-01 Created: 2015-03-09 Last updated: 2017-12-04Bibliographically approved

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Persson, Leif A.

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