On the solvability and approximate solution of a two dimensional coefficient inverse problem for transport-like equation

Greek Ministry of Education and Religious Affairs;European Society of Computational;Methods in Sciences and Engineering (ESCMSE)International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 -- 18 September 2009 through 22 September 2009 -- Rethymno, Crete --This paper presents the solvability results and an efficient approximation method for the solution of a two space dimensional coefficient inverse problem for transport-like equation. The main difficulty of this study is the overdeterminacy of the problem. In the paper, using some extension of the class of unknown functions, the overdetermined inverse problem is replaced by a related determined one, which is a new and interesting technique of investigating the solvability. © 2009 American Institute of Physics