$L^p$-estimates for parabolic systems with unbounded coefficients coupled at zero and first order

Luciana Angiuli, Luca Lorenzi, Diego Pallara

We consider a class of nonautonomous parabolic first-order coupled systems in the Lebesgue space $L^p({\mathbb{R}}^d;{\mathbb{R}}^m)$, $(d,m\ge 1)$ with $p\in [1,+\infty )$. Sufficie…