| Title | SBV Regularity for Hamilton-Jacobi Equations in R^n |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | Bianchini S., De Lellis C., Robyr R. |
| Journal | Archiv for Rational Mechanics and Analysis |
| Volume | 200 |
| Pagination | 1003–1021 |
| Publisher | Springer |
| Type of Article | scalar |
| ISSN | 0003-9527 |
| Abstract | We study the regularity of viscosity solutions to the following Hamilton-Jacobi equations ? t u+H(D x u)=0in??$R$$\times$$R$ n ? In particular, under the assumption that the Hamiltonian H?C 2 ($R$ n ) is uniformly convex, we prove that D x u and ? t u belong to the class SBV loc (?). |
| Notes | Arch. Ration. Mech. Anal. 200 (2011) 1003-1021 |
| URL | http://www.springerlink.com/content/4520768021832617/ |
| DOI | 10.1007/s00205-010-0381-z |
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