| Title | A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. |
| Publication Type | Journal Article |
| Year of Publication | 2004 |
| Authors | Ambrosio L., De Lellis C. |
| Journal | Journal of Hyperbolic Differential Equations |
| Volume | 1 |
| Pagination | 813–826 |
| Publisher | World Scientific Publishing |
| Type of Article | scalar |
| ISSN | 0219-8916 |
| Keywords | BV functions, entropy solutions, Hopf?Lax formula, SBV functions |
| Abstract | Let ??R2 be an open set and f?C2(R) with f" \ensuremath> 0. In this note we prove that entropy solutions of Dtu+Dxf(u) = 0 belong to SBVloc(?). As a corollary we prove the same property for gradients of viscosity solutions of planar Hamilton?Jacobi PDEs with uniformly convex Hamiltonians. |
| Notes | J. Hyperbolic Differ. Equ. 1 (2004), no. 4, 813–826. |
| URL | http://www.worldscinet.com/jhde/01/0104/S0219891604000263.html |
| DOI | 10.1142/S0219891604000263 |
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