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math.AP2009
On linear elliptic and parabolic equations with growing drift in Sobolev spaces without weights
N. V. Krylov
We consider uniformly elliptic and parabolic second-order equations with bounded zeroth-order and bounded VMO leading coefficients and possibly growing first-order coefficients. We…
math.AP2005
Elliptic differential equations with measurable coefficients
Doyoon Kim, N. V. Krylov
We prove the unique solvability of second order elliptic equations in non-divergence form in Sobolev spaces. The coefficients of the second order terms are measurable in one variab…