Applications of Zvonkin's Transform to Stationary Kolmogorov Equations
Bogachev VI, Röckner M, Shaposhnikov SV (2022)
Doklady Mathematics 106(2): 318-321.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Bogachev, V.I.;
Röckner, MichaelUniBi;
Shaposhnikov, S.V.
Einrichtung
Abstract / Bemerkung
In this note we develop a new analytic version of Zvonkin's transform of the drift coefficient of a stationary Kolmogorov equation and apply this transform to derive the Harnack inequality for nonnegative solutions in the case where the diffusion matrix is not locally Sobolev. We also obtain a generalization of the known theorem of Hasminskii on existence of a probability solution to the stationary Kolmogorov equation.
Stichworte
stationary Kolmogorov equation;
Dini's condition;
class VMO;
Zvonkin's;
transform
Erscheinungsjahr
2022
Zeitschriftentitel
Doklady Mathematics
Band
106
Ausgabe
2
Seite(n)
318-321
ISSN
1064-5624
eISSN
1531-8362
Page URI
https://pub.uni-bielefeld.de/record/2969174
Zitieren
Bogachev VI, Röckner M, Shaposhnikov SV. Applications of Zvonkin's Transform to Stationary Kolmogorov Equations. Doklady Mathematics. 2022;106(2):318-321.
Bogachev, V. I., Röckner, M., & Shaposhnikov, S. V. (2022). Applications of Zvonkin's Transform to Stationary Kolmogorov Equations. Doklady Mathematics, 106(2), 318-321. https://doi.org/10.1134/S1064562422050064
Bogachev, V.I., Röckner, Michael, and Shaposhnikov, S.V. 2022. “Applications of Zvonkin's Transform to Stationary Kolmogorov Equations”. Doklady Mathematics 106 (2): 318-321.
Bogachev, V. I., Röckner, M., and Shaposhnikov, S. V. (2022). Applications of Zvonkin's Transform to Stationary Kolmogorov Equations. Doklady Mathematics 106, 318-321.
Bogachev, V.I., Röckner, M., & Shaposhnikov, S.V., 2022. Applications of Zvonkin's Transform to Stationary Kolmogorov Equations. Doklady Mathematics, 106(2), p 318-321.
V.I. Bogachev, M. Röckner, and S.V. Shaposhnikov, “Applications of Zvonkin's Transform to Stationary Kolmogorov Equations”, Doklady Mathematics, vol. 106, 2022, pp. 318-321.
Bogachev, V.I., Röckner, M., Shaposhnikov, S.V.: Applications of Zvonkin's Transform to Stationary Kolmogorov Equations. Doklady Mathematics. 106, 318-321 (2022).
Bogachev, V.I., Röckner, Michael, and Shaposhnikov, S.V. “Applications of Zvonkin's Transform to Stationary Kolmogorov Equations”. Doklady Mathematics 106.2 (2022): 318-321.
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