Regularity theory of Kolmogorov operator revisited
Keyword(s):
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.
2019 ◽
Vol 60
(10)
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pp. 101509
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2015 ◽
Vol 269
(3)
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pp. 815-840
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2001 ◽
Vol 26
(7-8)
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pp. 1145-1173
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2003 ◽
Vol 201
(2)
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pp. 341-379
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