A measure theoretic approach to linear inverse atmospheric dispersion problems. (30th January 2015)

• Record Type: Journal Article
• Authors: Brännström, Niklas; Persson, Leif Å
• Is Part Of: Inverse problems. Volume 31:Number 2(2015:Feb.)
• Publication Date: 2015-01-30
• Subjects: atmospheric dispersion -- inverse problem -- measure theory; 49N45 -- 86A22; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/31/2/025009
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: 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.