On the uniqueness of solutions to continuity equations
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Publication:2355415
DOI10.1016/j.jde.2015.05.003zbMath1333.35312arXiv1412.7002OpenAlexW1894507874MaRDI QIDQ2355415
Giuseppe Da Prato, Stanislav V. Shaposhnikov, Michael Roeckner, Vladimir I. Bogachev
Publication date: 23 July 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.7002
PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs with measure (35R06)
Related Items (8)
On the one-dimensional continuity equation with a nearly incompressible vector field ⋮ Uniqueness and Non-Uniqueness of Signed Measure-Valued Solutions to the Continuity Equation ⋮ Fokker-Planck-Kolmogorov equations with a partially degenerate diffusion matrix ⋮ Measure-valued solutions of the continuity equation with a random potential ⋮ Quantitative stability estimates for Fokker-Planck equations ⋮ On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation ⋮ Non-uniqueness of signed measure-valued solutions to the continuity equation in presence of a unique flow ⋮ On the uniqueness of solutions to continuity equations
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