Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion
Bechtold F, Harang FA (2025)
Infinite Dimensional Analysis, Quantum Probability and Related Topics.
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Autor*in
Bechtold, FlorianUniBi;
Harang, Fabian A.
Einrichtung
Abstract / Bemerkung
In this paper, we prove a regularization by noise phenomenon for semilinear SPDEs driven by multiplicative cylindrical Brownian motion and singular diffusion coefficient, addressing an open problem in Ref. 8. The analysis combines infinite-dimensional generalizations of arguments from Ref. 5 with a detailed maximal regularity analysis for semilinear SPDEs, utilizing Volterra-sewing techniques from Ref. 23.
Stichworte
Regulariztion by noise;
stochastic partial differential equation;
cylindrical Brownian motion;
semilinear SPDEs;
occupation measure;
weak;
existence
Erscheinungsjahr
2025
Zeitschriftentitel
Infinite Dimensional Analysis, Quantum Probability and Related Topics
ISSN
0219-0257
eISSN
1793-6306
Page URI
https://pub.uni-bielefeld.de/record/3000585
Zitieren
Bechtold F, Harang FA. Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 2025.
Bechtold, F., & Harang, F. A. (2025). Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion. Infinite Dimensional Analysis, Quantum Probability and Related Topics. https://doi.org/10.1142/S021902572450019X
Bechtold, Florian, and Harang, Fabian A. 2025. “Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion”. Infinite Dimensional Analysis, Quantum Probability and Related Topics.
Bechtold, F., and Harang, F. A. (2025). Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion. Infinite Dimensional Analysis, Quantum Probability and Related Topics.
Bechtold, F., & Harang, F.A., 2025. Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion. Infinite Dimensional Analysis, Quantum Probability and Related Topics.
F. Bechtold and F.A. Harang, “Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2025.
Bechtold, F., Harang, F.A.: Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion. Infinite Dimensional Analysis, Quantum Probability and Related Topics. (2025).
Bechtold, Florian, and Harang, Fabian A. “Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion”. Infinite Dimensional Analysis, Quantum Probability and Related Topics (2025).
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