Uniqueness and Non-Uniqueness of Signed Measure-Valued Solutions to the Continuity Equation
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Publication:5087616
DOI10.5890/DNC.2020.12.001zbMath1492.35010OpenAlexW3047600991MaRDI QIDQ5087616
Publication date: 1 July 2022
Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5890/dnc.2020.12.001
Initial value problems for linear first-order PDEs (35F10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs with measure (35R06) Transport equations (35Q49)
Cites Work
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- On the one-dimensional continuity equation with a nearly incompressible vector field
- 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
- Some remarks on the continuity equation
- One-dimensional transport equations with discontinuous coefficients
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