On the uniqueness of solutions to continuity equations

Author:

Bogachev V.I.,Da Prato G.,Röckner M.,Shaposhnikov S.V.

Funder

DFG

RFBR

Simons Foundation

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference35 articles.

1. A uniqueness result for the continuity equation in two dimensions;Alberti;J. Eur. Math. Soc.,2014

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

3. Transport equation and Cauchy problem for non-smooth vector fields;Ambrosio,2008

4. Uniqueness of signed measures solving the continuity equation for Osgood vector fields;Ambrosio;Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl.,2008

5. Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields;Ambrosio,2008

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1. On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation;Sbornik: Mathematics;2021-06-01

2. Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow;Rendiconti Lincei - Matematica e Applicazioni;2019-09-02

3. Quantitative stability estimates for Fokker–Planck equations;Journal de Mathématiques Pures et Appliquées;2019-02

4. On the one-dimensional continuity equation with a nearly incompressible vector field;Communications on Pure & Applied Analysis;2019

5. Fokker–Planck Equations in Hilbert Spaces;Stochastic Partial Differential Equations and Related Fields;2018

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