Log-Lipschitz regularity and uniqueness of the flow for a field in \((W_{\text{loc}}^{n/p+1,p}(\mathbb{R}^n))^n\)
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Publication:1608672
DOI10.1016/S1631-073X(02)02426-3zbMath1022.34002OpenAlexW1599696556MaRDI QIDQ1608672
Publication date: 30 October 2003
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02426-3
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)
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Cites Work
- Ordinary differential equations, transport theory and Sobolev spaces
- On the uniqueness theorem for generalized solutions of initial-boundary problems for the Maguerre-Vlasov vibrations of shallow shells with clamped boundary conditions
- Linear transport equations with initial values in Sobolev spaces and application to the Navier-Stokes equations
- Elliptic partial differential equations of second order
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- Sur les équations différentielles ordinaires et les équations de transport
- Sobolev imbedding theorems in borderline cases
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