Mathematical Methods in the Applied Sciences. John Wiley and Sons Ltd. Vol. 41. 2018. P. 1825-1830
We consider an initial-boundary value problem for the continuity equation in a class of non-negative measure-valued solutions. We prove that any solution in the considered class can be represented as a superposition of elementary solutions, associated with the solutions of the corresponding ordinary differential equation. © Published under licence by IOP Publishing Ltd.