Some results and problems on advection-diffusion equations
Silva, Pablo Gustavo Albuquerque Braz e; Schütz, Lineia; Zingano, Paulo Ricardo de Avila
Abstract:
We describe a Moser-type iteration procedure to derive decay esti- mates for solutions u(_; t) of very general advection-di_usion equations in n-dimensional space, assuming u(_; 0) = u0 2 Lp(Rn), 1 _ p < 1. A number of related results are also discussed.