Colombini, Ferruccio and Crippa, Gianluca and Rauch, Jeffrey. (2006) A note on two-dimensional transport with bounded divergence. Communications Partial Differential Equations, 31 (7-9). pp. 1109-1115.
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Abstract
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 Rt x R2x under an additional condition on the local direction of the vector field.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Crippa) |
|---|---|
| UniBasel Contributors: | Crippa, Gianluca |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | Taylor & Francis |
| ISSN: | 0360-5302 |
| e-ISSN: | 1532-4133 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Identification Number: | |
| Last Modified: | 27 Nov 2017 12:33 |
| Deposited On: | 27 Nov 2017 12:33 |
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