Publication: SBV regularity for Hamilton-Jacobi equations in ℝ^n
SBV regularity for Hamilton-Jacobi equations in ℝ^n
Date
Date
Date
2011
Journal Article
Published version
Citations
Bianchini, S., De Lellis, C., & Robyr, R. (2011). SBV regularity for Hamilton-Jacobi equations in ℝ^n. Archiv for Rational Mechanics and Analysis, 200(3), 1003–1021. https://doi.org/10.1007/s00205-010-0381-z
Abstract
Abstract
Abstract
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).
Additional indexing
Creators (Authors)
- Bianchini, Stefano
- De Lellis, Camillo
- Robyr, Roger
Journal/Series Title
Journal/Series Title
Journal/Series Title
Volume
Volume
Volume
200
Number
Number
Number
3
Page range/Item number
Page range/Item number
Page range/Item number
1003
Page end
Page end
Page end
1021
Item Type
Item Type
Item Type
Journal Article
In collections
Language
Language
Language
English
Publication date
Publication date
Publication date
2011
Date available
Date available
Date available
2012-01-08
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
0003-9527
Additional Information
Additional Information
Additional Information
The original publication is available at www.springerlink.com
OA Status
OA Status
OA Status
Green
Publisher DOI
Citations
Bianchini, S., De Lellis, C., & Robyr, R. (2011). SBV regularity for Hamilton-Jacobi equations in ℝ^n. Archiv for Rational Mechanics and Analysis, 200(3), 1003–1021. https://doi.org/10.1007/s00205-010-0381-z
Green Open Access
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