SBV Regularity for Hamilton–Jacobi Equations in $${{\mathbb R}^n}$$

Author:

Bianchini Stefano,De Lellis Camillo,Robyr Roger

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference13 articles.

1. Alberti G., Ambrosio L.: A geometrical approach to monotone functions in $${{\mathbb R}^{n}}$$ . Math. Z. 230(2), 259–316 (1999)

2. Ambrosio, L., Fusco, N., Pallara, D.: Functions of Bounded Variation and Free Discontinuity Problems. Oxford Mathematical Monographs, 2000

3. Ambrosio L., De Lellis C.: A note on admissible solutions of 1d scalar conservation laws and 2d Hamilton–Jacobi equations. J. Hyperbolic Differ. Equ. 31(4), 813–826 (2004)

4. Bressan, A.: Viscosity Solutions of Hamilton–Jacobi Equations and Optimal Control Problems (an illustrated tutorial). Lecture Notes in Mathematics (unpublished)

5. Cannarsa, P., Sinestrari, C.: Semiconcave Functions, Hamilton–Jacobi Equations, and Optimal Control. Birkhäuser, Boston, 2004

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