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Bianchini, Stefano; De Lellis, Camillo; Robyr, Roger (2011). SBV regularity for Hamilton-Jacobi equations in ℝ^n. Archiv for Rational Mechanics and Analysis, 200(3):1003-1021.
We study the regularity of viscosity solutions to the following Hamilton-Jacobi equations ∂ t u+H(D x u)=0inΩ⊂ℝ×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 (Ω).
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Mathematics (miscellaneous) Physical Sciences > Mechanical Engineering |
| Language: | English |
| Date: | 2011 |
| Deposited On: | 08 Jan 2012 20:35 |
| Last Modified: | 06 May 2025 01:37 |
| Publisher: | Springer |
| ISSN: | 0003-9527 |
| Additional Information: | The original publication is available at www.springerlink.com |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00205-010-0381-z |
| Related URLs: | http://arxiv.org/abs/1002.4087 |
Bianchini, Stefano