Long-time behavior of stochastic Hamilton-Jacobi equations

Gassiat P, Gess B, Lions P-L, Souganidis PE (2024)
Long-time behavior of stochastic Hamilton-Jacobi equations 286(4): 110269.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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DOI
Autor*in
Gassiat, Paul; Gess, BenjaminUniBi; Lions, Pierre-Louis; Souganidis, Panagiotis E.
Einrichtung
Fakultät für Mathematik
Abstract / Bemerkung
The long-time behavior of stochastic Hamilton-Jacobi equa-tions is analyzed, including the stochastic mean curvature flow as a special case. In a variety of settings, new and sharpened results are obtained. Among them are (i) a regularization by noise phenomenon for the mean curvature flow with homo-geneous noise which establishes that the inclusion of noise speeds up the decay of solutions, and (ii) the long-time con-vergence of solutions to spatially inhomogeneous stochastic Hamilton-Jacobi equations. A number of motivating exam-ples about nonlinear stochastic partial differential equations are presented in the appendix.(c) 2023 Elsevier Inc. All rights reserved.
Stichworte
Stochastic Hamilton-Jacobi; equations; Stochastic mean curvature flow; Long-time behavior; Regularization by noise
Erscheinungsjahr
2024
Zeitschriftentitel
Long-time behavior of stochastic Hamilton-Jacobi equations
Band
286
Ausgabe
4
Art.-Nr.
110269
ISSN
0022-1236
eISSN
1096-0783
Page URI
https://pub.uni-bielefeld.de/record/2986294

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Gassiat P, Gess B, Lions P-L, Souganidis PE. Long-time behavior of stochastic Hamilton-Jacobi equations. Long-time behavior of stochastic Hamilton-Jacobi equations. 2024;286(4): 110269.
Gassiat, P., Gess, B., Lions, P. - L., & Souganidis, P. E. (2024). Long-time behavior of stochastic Hamilton-Jacobi equations. Long-time behavior of stochastic Hamilton-Jacobi equations, 286(4), 110269. https://doi.org/10.1016/j.jfa.2023.110269
Gassiat, Paul, Gess, Benjamin, Lions, Pierre-Louis, and Souganidis, Panagiotis E. 2024. “Long-time behavior of stochastic Hamilton-Jacobi equations”. Long-time behavior of stochastic Hamilton-Jacobi equations 286 (4): 110269.
Gassiat, P., Gess, B., Lions, P. - L., and Souganidis, P. E. (2024). Long-time behavior of stochastic Hamilton-Jacobi equations. Long-time behavior of stochastic Hamilton-Jacobi equations 286:110269.
Gassiat, P., et al., 2024. Long-time behavior of stochastic Hamilton-Jacobi equations. Long-time behavior of stochastic Hamilton-Jacobi equations, 286(4): 110269.
P. Gassiat, et al., “Long-time behavior of stochastic Hamilton-Jacobi equations”, Long-time behavior of stochastic Hamilton-Jacobi equations, vol. 286, 2024, : 110269.
Gassiat, P., Gess, B., Lions, P.-L., Souganidis, P.E.: Long-time behavior of stochastic Hamilton-Jacobi equations. Long-time behavior of stochastic Hamilton-Jacobi equations. 286, : 110269 (2024).
Gassiat, Paul, Gess, Benjamin, Lions, Pierre-Louis, and Souganidis, Panagiotis E. “Long-time behavior of stochastic Hamilton-Jacobi equations”. Long-time behavior of stochastic Hamilton-Jacobi equations 286.4 (2024): 110269.
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