| Title | A regularizing property of the 2d-eikonal equation |
| Publication Type | Journal Article |
| Year of Publication | 2015 |
| Authors | De Lellis C., Ignat R. |
| Journal | Communications in Partial Differential Equations |
| Volume | 40 |
| Pagination | 1543–1557 |
| Date Published | August |
| Publisher | Taylor & Francis |
| Type of Article | scalar |
| ISSN | 0360-5302 |
| Abstract | We prove that any 2-dimensional solution $∖psi ∖in ∖mathit{W}\^ {1+\^ {1}_{3},3}_∖mathit{loc}$ of the eikonal equation has locally Lipschitz gradient $∖nabla$$∖psi$ except at a locally finite number of vortex-points. A related regularizing effect is also obtained for general solutions of the Burgers? equation. |
| Notes | Comm. Partial Differential Equations 40 (2015), no. 8, 1543–1557. |
| URL | https://www.tandfonline.com/doi/full/10.1080/03605302.2014.999939 |
| DOI | 10.1080/03605302.2014.999939 |
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