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Regularity theory of Kolmogorov operator revisited
Published online by Cambridge University Press: 24 August 2020
Abstract
We consider Kolmorogov operator $-\Delta +b \cdot \nabla $ with drift b in the class of form-bounded vector fields (containing vector fields having critical-order singularities). We characterize quantitative dependence of the Sobolev and Hölder regularity of solutions to the corresponding elliptic equation on the value of the form-bound of b.
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- © Canadian Mathematical Society 2020
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The research of the author is supported by grants from NSERC and FRQNT.
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