Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits
Gess B, Wu Z, Zhang R (2024)
arXiv:2406.17892.
Preprint | Englisch
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Autor*in
Gess, Benjamin;
Wu, ZhengyanUniBi;
Zhang, Rangrang
Projekt
Abstract / Bemerkung
Higher order fluctuation expansions for stochastic heat equations (SHE) with nonlinear, non-conservative and conservative noise are obtained. These Edgeworth-type expansions describe the asymptotic behavior of solutions in suitable joint scaling regimes of small noise intensity and diverging singularity. The results include both the case of the SHE with regular and irregular diffusion coefficients. In particular, this includes the correlated Dawson-Watanabe and Dean-Kawasaki SPDEs, as well as SPDEs corresponding to the Fleming-Viot and symmetric simple exclusion processes.
Erscheinungsjahr
2024
Zeitschriftentitel
arXiv:2406.17892
Seite(n)
51
Page URI
https://pub.uni-bielefeld.de/record/2991132
Zitieren
Gess B, Wu Z, Zhang R. Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits. arXiv:2406.17892. 2024.
Gess, B., Wu, Z., & Zhang, R. (2024). Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits. arXiv:2406.17892
Gess, Benjamin, Wu, Zhengyan, and Zhang, Rangrang. 2024. “Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits”. arXiv:2406.17892.
Gess, B., Wu, Z., and Zhang, R. (2024). Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits. arXiv:2406.17892.
Gess, B., Wu, Z., & Zhang, R., 2024. Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits. arXiv:2406.17892.
B. Gess, Z. Wu, and R. Zhang, “Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits”, arXiv:2406.17892, 2024.
Gess, B., Wu, Z., Zhang, R.: Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits. arXiv:2406.17892. (2024).
Gess, Benjamin, Wu, Zhengyan, and Zhang, Rangrang. “Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits”. arXiv:2406.17892 (2024).
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