%0 Journal Article
%T Estimates for solutions to the transport equation under the perturbation of its attenuation and scattering terms
%A Daiki Tanaka
%A Nobuyuki Higashimori
%A Yuusuke Iso
%J Tamkang Journal of Mathematics
%D 2012
%I Tamkang University
%R 10.5556/j.tkjm.43.2012.313-320
%X The aim of the paper is to give $L^p$-estimates for the weak solution to the transport equation with $L^infty$-perturbation both of the attenuation coefficient and of the scattering kernel. We try to clarify the constants in our estimates, and we show the estimates by a direct calculation. We introduce the albedo operator for the solutions, and we show stability of perturbed albedo operators.
%K transport equation
%K stability estimate for perturbation
%K albedo operator
%K optical tomography
%U http://journals.math.tku.edu.tw/index.php/TKJM/article/view/1018