Differential and Integral Equations

On two-dimensional Hamiltonian transport equations with continuous coefficients

F. Bouchut and L. Desvillettes

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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

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

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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

Export citation