Differential and Integral Equations

On two-dimensional Hamiltonian transport equations with continuous coefficients

F. Bouchut and L. Desvillettes

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Abstract

We consider two-dimensional autonomous flows with divergence free continuous coefficients. Under a generic assumption of regularity on the set of critical points, we give a proof of uniqueness for the characteristics and for the transport equation in the framework of distributions.

Article information

Source
Differential Integral Equations, Volume 14, Number 8 (2001), 1015-1024.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123178

Mathematical Reviews number (MathSciNet)
MR1827101

Zentralblatt MATH identifier
1028.35042

Subjects
Primary: 35F10: Initial value problems for linear first-order equations
Secondary: 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions 35A30: Geometric theory, characteristics, transformations [See also 58J70, 58J72] 35L45: Initial value problems for first-order hyperbolic systems

Citation

Bouchut, F.; Desvillettes, L. On two-dimensional Hamiltonian transport equations with continuous coefficients. Differential Integral Equations 14 (2001), no. 8, 1015--1024. https://projecteuclid.org/euclid.die/1356123178


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