Surface measures and integration by parts formula on levels sets induced by functionals of the Brownian motion in $${\mathbb {R}}^n$$-Reference-Cited by-同舟云学术

Surface measures and integration by parts formula on levels sets induced by functionals of the Brownian motion in $${\mathbb {R}}^n$$

Published:2020-04-22 Issue:3 Volume:27 Page:
ISSN:1021-9722
Container-title:Nonlinear Differential Equations and Applications NoDEA
language:en
Short-container-title:Nonlinear Differ. Equ. Appl.

Author:

Bonaccorsi Stefano,Tubaro Luciano,Zanella Margherita

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00030-020-00633-z.pdf

Reference28 articles.

1. Addona, D., Menegatti, G., Miranda Jr, M.: On integration by parts formula on open convex sets in Wiener spaces. arXiv:1808.06825v1

2. Addona, D., Menegatti, G., Miranda Jr., M.: $$BV$$ functions on open domains: the Wiener case and a Fomin differentiable case. Commun. Pure Appl. Anal. 19, 5 (2020)

3. Airault, H., Malliavin, P.: Intégration géométrique sur l’espace de Wiener. Bull. Sci. Math. 112, 3–52 (1988)

4. Ambrosio, L., Miranda Jr., M., Maniglia, S., Pallara, D.: BV functions in abstract Wiener spaces. J. Funct. Anal. 258(3), 785–813 (2010)

5. Ambrosio, L., Figalli, A.: Surface measures and convergence of the Ornstein–Uhlenbeck semigroup in Wiener spaces. Ann. Fac. Sci. Toulouse Math. (6) 20(2), 407–438 (2011)

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