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Let Omega be a non-empty open proper and connected subset of R^n. Consider pelliptic Schr\"odinger type operator L_{E}u=A_{E}u+V in Omega, and the linearparabolic operator L_{P}u=A_{P}u+Vu in Omega x (0,T), where the coefficients ofA_{E} and A_{P} are in VMO and the potential V satisfies a reverse-H\"oldercondition. The aim of this paper is to obtain a priori estimates for theoperators L_{E} and L_{P} in weighted Sobolev spaces involving the distance tothe boundary and weights in a local-A class.

Interior Lp-estimates for elliptic and parabolic Schr\"odinger type operators and local Ap-weights