We calculate the dynamics of local and non-local correlation functions of one and threedimensional weakly interacting Bose gas after an interaction quench. Within the Bogoliubov approximation we discuss the resulting quasi-steady prethermal state and relaxation to it. We discuss the deacay rates of Bogoliubov quasi-particles characterizing the expected departure from the prethermal state towards a fully thermalized one. We conclude that prethermalization in this situation manifest as a crossover.
