A NEW PROOF OF A FUNDAMENTAL SUPNORM ESTIMATE FOR ONE-DIMENSIONAL ADVECTION-DIFFUSION EQUATIONS
We give a short derivation of supnorm estimates for solutions of one-dimensional advection-diffusion equations
and some of their generalizations, assuming initial data for some A few related results and open questions are also given.
advection-diffusion equations, initial-value problem, energy method, heterogeneous media, forced advection, supnorm estimates, large time behavior.