Quantitative uniqueness estimates for second order elliptic equations with unbounded drift
Carlos E. Kenig, Jenn‐Nan Wang · Mathematical Research Letters · 2015
In this paper we derive quantitative uniqueness estimates at infinity for solutions to an elliptic equation with unbounded drift in the plane.More precisely, let u be a real solution to Δu + W • ∇u = 0 in R 2 , where W is real vector andwherewhere C 2 > 0 depends on m and C 3 depends on m, K. Using the scaling argument in [BK05], these quantitative estimates are easy consequences of estimates of the maximal vanishing order for solutions of the local problem.The estimate of the maximal vanishing order is a quantitative form of the strong unique continuation property.