scientific article; zbMATH DE number 2124145

zbMath1063.35054MaRDI QIDQ4831546

Nicoals Depauw

Publication date: 3 January 2005

Full work available at URL: http://www.numdam.org/item?id=SEDP_2002-2003____A19_0

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zbMATH Keywords

non-characteristic Cauchy problemexample of nonuniqueness

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Nonlinear first-order PDEs (35F20)

Related Items (9)

On solutions of the transport equation in the presence of singularities ⋮ A quantitative theory for the continuity equation ⋮ Well-posedness of the deterministic transport equation with singular velocity field perturbed along fractional Brownian paths ⋮ Generalized \(N\)-property and Sard theorem for Sobolev maps ⋮ A uniqueness result for the continuity equation in two dimensions ⋮ On flows generated by vector fields with compact support ⋮ Uniqueness in the Cauchy problem for transport in \(\mathbb R^2\) and \(\mathbb R^{1+2}\) ⋮ A uniqueness result for the decomposition of vector fields in \(\mathbb{R}^d\) ⋮ Smoothing does not give a selection principle for transport equations with bounded autonomous fields

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