A result of uniqueness of solutions of the Shigesada–Kawasaki–Teramoto equations

Abstract

We derive the uniqueness of weak solutions to the Shigesada–Kawasaki–Teramoto (SKT) systems using the adjoint problem argument. Combining with [10], we then derive the well-posedness for the SKT systems in space dimension d≤4{d\leq 4}.

Keywords

• well-posedness
• quasi-linear parabolic equations
• global existence
• 35k59
• 35b40
• 92d25