ODEs with Sobolev coefficients: the Eulerian and the Lagrangian approach

DOI10.3934/dcdss.2008.1.405zbMath1156.35341OpenAlexW2078928960MaRDI QIDQ950629

Camillo De Lellis

Publication date: 30 October 2008

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2008.1.405

zbMATH Keywords

discontinuous coefficientstransport equationsrenormalized solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Linear first-order PDEs (35F05) Initial value problems for linear first-order PDEs (35F10) Equations in function spaces; evolution equations (58D25)

Related Items (5)

On solutions of the transport equation in the presence of singularities ⋮ Exponential Mixing by Shear Flows ⋮ Singular integrals and a problem on mixing flows ⋮ Nonuniqueness of weak solutions for the transport equation at critical space regularity ⋮ On the uniqueness of solutions to continuity equations

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