Well-posedness of the deterministic transport equation with singular velocity field perturbed along fractional Brownian paths-Reference-Cited by-同舟云学术

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Well-posedness of the deterministic transport equation with singular velocity field perturbed along fractional Brownian paths

Published:2023-07 Issue: Volume:362 Page:106-172
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Amine Oussama,Mansouri Abdol-Reza,Proske Frank

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference54 articles.

1. Stochastic calculus with respect to Gaussian processes;Alòs;Ann. Probab.,2001

2. Transport equation and Cauchy problem for BV vector fields;Ambrosio;Invent. Math.,2004

3. Gradient Flows: in Metric Spaces and in the Space of Probability Measures;Ambrosio,2008

4. Uniqueness of signed measures solving the continuity equation for Osgood vector fields;Ambrosio;Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat.,2008

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. $$C^{\infty }$$-Regularization by Noise of Singular ODE’s;Journal of Dynamics and Differential Equations;2024-03-25

2. Malliavin differentiability of solutions of hyperbolic stochastic partial differential equations with irregular drifts;Latin American Journal of Probability and Mathematical Statistics;2023

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