Potential theory for nonlocal drift-diffusion equations
Nguyen Q-H, Nowak SN, Sire Y, Weidner M (2024)
Archive for Rational Mechanics and Analysis 248(6): 1-42.
Zeitschriftenaufsatz
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Autor*in
Nguyen, Quoc-Hung;
Nowak, Simon NoahUniBi;
Sire, Yannick;
Weidner, Marvin
Einrichtung
Abstract / Bemerkung
The purpose of this paper is to prove new fine regularity results for nonlocal drift-diffusion equations via pointwise potential estimates. Our analysis requires only minimal assumptions on the divergence free drift term, enabling us to include drifts of critical order belonging merely to BMO. In particular, our results allow to derive new estimates for the dissipative surface quasi-geostrophic equation.
Erscheinungsjahr
2024
Zeitschriftentitel
Archive for Rational Mechanics and Analysis
Band
248
Ausgabe
6
Seite(n)
1-42
Page URI
https://pub.uni-bielefeld.de/record/2984855
Zitieren
Nguyen Q-H, Nowak SN, Sire Y, Weidner M. Potential theory for nonlocal drift-diffusion equations. Archive for Rational Mechanics and Analysis. 2024;248(6):1-42.
Nguyen, Q. - H., Nowak, S. N., Sire, Y., & Weidner, M. (2024). Potential theory for nonlocal drift-diffusion equations. Archive for Rational Mechanics and Analysis, 248(6), 1-42. https://doi.org/10.1007/s00205-024-02073-w
Nguyen, Quoc-Hung, Nowak, Simon Noah, Sire, Yannick, and Weidner, Marvin. 2024. “Potential theory for nonlocal drift-diffusion equations”. Archive for Rational Mechanics and Analysis 248 (6): 1-42.
Nguyen, Q. - H., Nowak, S. N., Sire, Y., and Weidner, M. (2024). Potential theory for nonlocal drift-diffusion equations. Archive for Rational Mechanics and Analysis 248, 1-42.
Nguyen, Q.-H., et al., 2024. Potential theory for nonlocal drift-diffusion equations. Archive for Rational Mechanics and Analysis, 248(6), p 1-42.
Q.-H. Nguyen, et al., “Potential theory for nonlocal drift-diffusion equations”, Archive for Rational Mechanics and Analysis, vol. 248, 2024, pp. 1-42.
Nguyen, Q.-H., Nowak, S.N., Sire, Y., Weidner, M.: Potential theory for nonlocal drift-diffusion equations. Archive for Rational Mechanics and Analysis. 248, 1-42 (2024).
Nguyen, Quoc-Hung, Nowak, Simon Noah, Sire, Yannick, and Weidner, Marvin. “Potential theory for nonlocal drift-diffusion equations”. Archive for Rational Mechanics and Analysis 248.6 (2024): 1-42.
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