On the stability of transport equations
Department of Mathematics, Korea Advanced Institute of Science and Technology, South Korea
Keywords: transport equation, inequality, perturbation, generalized Hyers-Ulam stability.
In this paper, we prove the generalized Hyers-Ulam stability of the transport equation, $u_t(x,t) + b \\cdot D_x u(x,t) = 0$, in a class of continuously differentiable functions.