Measure-valued solutions of the continuity equation with a random potential

DOI10.1007/s00028-017-0396-0zbMath1390.35390OpenAlexW2625398836MaRDI QIDQ1745972

Jong Uhn Kim

Publication date: 18 April 2018

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-017-0396-0

zbMATH Keywords

continuity equationrandom potentialRadon measuremeasure-valued solutions

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) PDEs with measure (35R06)

Cites Work

• Transport equation and Cauchy problem for BV vector fields
• Renormalized solutions to the continuity equation with an integrable damping term
• Ordinary differential equations, transport theory and Sobolev spaces
• Probabilistic representation and uniqueness results for measure-valued solutions of transport equations
• On the uniqueness of solutions to continuity equations
• A concise course on stochastic partial differential equations
• Stochastic Equations in Infinite Dimensions
• Continuity equations and ODE flows with non-smooth velocity
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