On directed diffusion with measurable background
Reinhard Illner, Jinghzi Tie · Mathematical Methods in the Applied Sciences · 1993
Abstract We show that the ‘directed diffusion equation’ with periodic boundary conditions has a unique weak solution u whenever b is measurable and bounded above and below by positive constants. Also, limt→∞u(t,x) in Lp, 1⩽p≤∞.