Geodesic
Regularity theory of Kolmogorov operator revisited
Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 725-736

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DOI

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.
DOI : 10.4153/S0008439520000697
Mots-clés : Elliptic operators, form-bounded vector fields, regularity of solutions, Feller semigroups 
Kinzebulatov, Damir. Regularity theory of Kolmogorov operator revisited. Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 725-736. doi: 10.4153/S0008439520000697
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     author = {Kinzebulatov, Damir},
     title = {Regularity theory of {Kolmogorov} operator revisited},
     journal = {Canadian mathematical bulletin},
     pages = {725--736},
     year = {2021},
     volume = {64},
     number = {4},
     doi = {10.4153/S0008439520000697},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000697/}
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