A measure theoretic approach to linear inverse atmospheric dispersion problems
Atmospheric and Oceanic Physics
2014-09-18 v3
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. We investigate the source-sensor relationship and rigorously state solvability conditions for when the inverse problem can be solved using a least-squares optimisation method. That is, we derive conditions for when the least-squares problem is well-defined.
Cite
@article{arxiv.1305.6906,
title = {A measure theoretic approach to linear inverse atmospheric dispersion problems},
author = {Niklas Brännström and Leif Å Persson},
journal= {arXiv preprint arXiv:1305.6906},
year = {2014}
}