Asymptotic behaviour for elliptic operators with second-order discontinuous coefficients

Abstract

AbstractWe study the behaviour at infinity, in suitable weighted {L^{p}}-norms, of solutions of parabolic problems associated to the second order elliptic operatorL=\Delta+(a-1)\sum_{i,j=1}^{N}\frac{x_{i}x_{j}}{|x|^{2}}D_{ij}+c\frac{x}{|x|^{% 2}}\cdot\nabla-b|x|^{-2},where {a>0} and {b,c\in\mathbb{R}}.