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1403 Circle Drive, Knoxville, TN 37996

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Speaker: Sungwon Cho (Gwangju National University of Education, South Korea).

Title: A local Aleksandrov estimate for linear elliptic operator with unbounded drift 

Abstract: The classical Aleksandrov-Bakel'man-Pucci estimate (Aleksandrov estimate or ABP estimate) for a second-order elliptic operator in nondivergence form holds with L^n-integrable unbounded drift, the first-order coefficients. But for the local estimate, the result is available for bounded or L^2n-integrable coefficients. Using a growth lemma and an approximation method from  M. Safonov, we improve the result to Lebesgue {n}-integrable first-order coefficients,  which is optimal and coincides with the condition for the original ABP estimate.

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