About the triangular Shigesada–Kawasaki–Teramoto reaction cross diffusion system

Abstract We show how the use of a refined version of the duality method together with the use of more traditional multiplicators enables to quickly get regularity results for the so-called “triangular” Shigesada–Kawasaki–Teramoto system. This system is the coupling of a reaction diffusion equation w...
Ausführliche Beschreibung

Abstract We show how the use of a refined version of the duality method together with the use of more traditional multiplicators enables to quickly get regularity results for the so-called “triangular” Shigesada–Kawasaki–Teramoto system. This system is the coupling of a reaction diffusion equation with a reaction cross diffusion equation. It comes out of the study of segregation in biological populations and involves only linear and quadratic terms. This work provides an alternative to the estimates provided by Lou, Ni, Wu (Discret Contin Dyn Syst 4(2):193-203, 1998). Ausführliche Beschreibung