Lagrangian flows and the one-dimensional Peano phenomenon for ODEs
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Publication:630585
DOI10.1016/j.jde.2010.12.007zbMath1218.34008OpenAlexW1989242879MaRDI QIDQ630585
Publication date: 17 March 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2010.12.007
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Explicit solutions, first integrals of ordinary differential equations (34A05) Dynamics induced by flows and semiflows (37C10)
Related Items (5)
On the one-dimensional continuity equation with a nearly incompressible vector field ⋮ Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation ⋮ Discontinuous nonlocal conservation laws and related discontinuous ODEs -- existence, uniqueness, stability and regularity ⋮ The initial-boundary value problem for the Lifshitz–Slyozov equation with non-smooth rates at the boundary ⋮ On the uniqueness of solutions to continuity equations
Cites Work
- Differential equations with singular fields
- Transport equation and Cauchy problem for BV vector fields
- Well-posedness of the transport equation by stochastic perturbation
- Ordinary differential equations, transport theory and Sobolev spaces
- Plane waves in nonlinear electromagnetism
- A uniqueness result for the continuity equation in two dimensions
- Renormalized Solutions for Stochastic Transport Equations and the Regularization by Bilinear Multiplicative Noise
- Estimates and regularity results for the DiPerna-Lions flow
- One-dimensional transport equations with discontinuous coefficients
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