Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise
Fehrman B, Gess B (2024)
Archive for Rational Mechanics and Analysis 248(2): 20.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Fehrman, Benjamin;
Gess, BenjaminUniBi
Einrichtung
Abstract / Bemerkung
In this paper we prove the well-posedness of the generalized Dean–Kawasaki equation driven by noise that is white in time and colored in space. The results treat diffusion coefficients that are only locally 1/2-Hölder continuous, including the square root. This solves several open problems, including the well-posedness of the Dean–Kawasaki equation and the nonlinear Dawson–Watanabe equation with correlated noise.
Erscheinungsjahr
2024
Zeitschriftentitel
Archive for Rational Mechanics and Analysis
Band
248
Ausgabe
2
Art.-Nr.
20
ISSN
0003-9527
eISSN
1432-0673
Page URI
https://pub.uni-bielefeld.de/record/2988224
Zitieren
Fehrman B, Gess B. Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise. Archive for Rational Mechanics and Analysis. 2024;248(2): 20.
Fehrman, B., & Gess, B. (2024). Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise. Archive for Rational Mechanics and Analysis, 248(2), 20. https://doi.org/10.1007/s00205-024-01963-3
Fehrman, Benjamin, and Gess, Benjamin. 2024. “Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise”. Archive for Rational Mechanics and Analysis 248 (2): 20.
Fehrman, B., and Gess, B. (2024). Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise. Archive for Rational Mechanics and Analysis 248:20.
Fehrman, B., & Gess, B., 2024. Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise. Archive for Rational Mechanics and Analysis, 248(2): 20.
B. Fehrman and B. Gess, “Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise”, Archive for Rational Mechanics and Analysis, vol. 248, 2024, : 20.
Fehrman, B., Gess, B.: Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise. Archive for Rational Mechanics and Analysis. 248, : 20 (2024).
Fehrman, Benjamin, and Gess, Benjamin. “Well-Posedness of the Dean-Kawasaki and the Nonlinear Dawson-Watanabe Equation with Correlated Noise”. Archive for Rational Mechanics and Analysis 248.2 (2024): 20.
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