Published Paper

Inserted: 23 may 2005
Last Updated: 24 may 2006

Journal: Comm. Partial Differential Equations
Volume: 31
Number: 7
Pages: 1109 - 1115
Year: 2006

Abstract:

\documentclass{article} \begin{document}

We prove uniqueness for two dimensional transport across a noncharacteristic curve, under the hypothesis that the vector field is autonomous, bounded and with bounded divergence. We also obtain uniqueness for the Cauchy problem in $\mathbf{R}_t \times \mathbf{R}^2_x$ under an additional condition on the local direction of the vector field. \end{document}

Keywords: Renormalized solutions, Transport equation

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