In this thesis a reconstruction process is made, wich is also called Inverse Problem, in order to determine the function k = k(x) which satis es the equation of the escalar conservation law: @tu + (k (x) f (u))x = 0 (0.2) from solutions to the problems Cauchy associated to the equation(0.2) and a unique initial data u (x; 0) = u0 (x)En la presente Tesis se elabora un proceso de reconstrucci on, llamado tambi en Problema Inverso, con el n de determinar la funci on: k = k(x) que satisface la ecuaci on de la ley de conservaci on escalar : @tu + (k (x) f (u))x = 0 (0.1) a partir de las soluciones a los problemas de Cauchy asociados a la ecuaci on (0.1) y de un unico dato inicial u (x; 0) = u0 (x)Tesis