Regularization by noise for stochastic Hamilton-Jacobi equations

Gassiat P, Gess B (2019)
PROBABILITY THEORY AND RELATED FIELDS 173(3-4): 1063-1098.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
We study regularizing effects of nonlinear stochastic perturbations for fully nonlinear PDE. More precisely, path-by-path L bounds for the second derivative of solutions to such PDE are shown. These bounds are expressed as solutions to reflected SDE and are shown to be optimal.
Erscheinungsjahr
Zeitschriftentitel
PROBABILITY THEORY AND RELATED FIELDS
Band
173
Ausgabe
3-4
Seite(n)
1063-1098
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eISSN
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Gassiat P, Gess B. Regularization by noise for stochastic Hamilton-Jacobi equations. PROBABILITY THEORY AND RELATED FIELDS. 2019;173(3-4):1063-1098.
Gassiat, P., & Gess, B. (2019). Regularization by noise for stochastic Hamilton-Jacobi equations. PROBABILITY THEORY AND RELATED FIELDS, 173(3-4), 1063-1098. doi:10.1007/s00440-018-0848-7
Gassiat, P., and Gess, B. (2019). Regularization by noise for stochastic Hamilton-Jacobi equations. PROBABILITY THEORY AND RELATED FIELDS 173, 1063-1098.
Gassiat, P., & Gess, B., 2019. Regularization by noise for stochastic Hamilton-Jacobi equations. PROBABILITY THEORY AND RELATED FIELDS, 173(3-4), p 1063-1098.
P. Gassiat and B. Gess, “Regularization by noise for stochastic Hamilton-Jacobi equations”, PROBABILITY THEORY AND RELATED FIELDS, vol. 173, 2019, pp. 1063-1098.
Gassiat, P., Gess, B.: Regularization by noise for stochastic Hamilton-Jacobi equations. PROBABILITY THEORY AND RELATED FIELDS. 173, 1063-1098 (2019).
Gassiat, Paul, and Gess, Benjamin. “Regularization by noise for stochastic Hamilton-Jacobi equations”. PROBABILITY THEORY AND RELATED FIELDS 173.3-4 (2019): 1063-1098.