The bottaro-marina slice method for distributional solutions to elliptic equations with drift term
Stefano Buccheri · AIP conference proceedings · 2022
In this paper we provide existence and Calderón-Zygmund type result for the following elliptic problem with a non-coercive drift term −div(A(x)∇u)=E(x)∇u+f(x)=0 in Ω,u=0 on ∂Ω. No regularity assumption is made on the matrix A(x), the vector filed E(x) belongs to the borderline space (LN (Ω))N and the source f belongs to the Lebesgue space Lm(Ω) with [inline].