Hamilton Jacobi Equations with Obstacles

Archive for Rational Mechanics and Analysis

Volumn 200, Issue 3, 2011, Pages 1051-1073

  de Lellis, Camillo ^a   Robyr, Roger ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79956133682     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-010-0382-y     Document Type: Article

References (12)

1. Ambrosio, L., Fusco, N., Pallara, D.: Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs, 2000.
2. Aubin J. P., Cellina A.: Differential Inclusions. Springer-Verlag, Berlin (1984).
3. Bardi M., Capuzzo-Dolcetta I.: Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. Birkhuser, Boston (1997).
4. Bardi, M., Crandall, M. G., Evans, L. C., Soner, H. M., Souganidis, E.: Viscosity Solutions and Applications. Lecture Notes in Mathematics, Vol. 1660. Springer-Verlag, Berlin, 1997.
5. Bressan A.: Differential inclusions and the control of forest fires. J. Differ. Equ. 243, 179-207 (2007).
6. Bressan A., Burago M., Friend A., Jou J.: Blocking strategies for a fire control problem. Anal. Appl. 6, 229-246 (2008).
7. Bressan A., De Lellis C.: Existence of optimal strategies for a fire confinement problem. Commun. Pure Appl. Math. 62, 789-830 (2009).
8. Bressan, A., Wang, T.: Equivalent formulation and numerical analysis of fire confinement problem. Preprint, 2008.
9. Bressan A., Wang T.: The minimum speed for a blocking problem on a half plane. J. Math. Anal. Appl. 356, 133-144 (2009).
10. Evans, L. C.: Partial Differential Equations. Graduate Studies in Mathematics. AMS, 1991.
11. Evans L. C., Souganidis P. E.: Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations. Indiana Univ. Math. J. 33, 773-797 (1984).
12. Federer, H.: Geometric Measure Theory. Die Grundlehren der mathematischen Wissenschaften, Band 153. Springer-Verlag, New York, 1969.