📝 Abstract

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.

🏷️ Keywords

transport equationinequalityperturbationgeneralized Hyers-Ulam stability.
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Citation

Soon-Mo Jung. (2023). On the stability of transport equations. Cithara Journal, 63(7). ISSN: 0009-7527