Hopf-lax-type formula for ut + H(u, Du) = 0

Journal of Differential Equations

Volumn 126, Issue 1, 1996, Pages 48-61

  Barron, E N ^a   Jensen, R ^a   Liu, W ^a  

^a LOYOLA UNIVERSITY CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030594279     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0043     Document Type: Article

References (10)

1. ∞, in "Optimal Control of Differential Equations" (N. H. Pavel, Ed.), Dekker, New York, 1994.
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3. 3. E. N. BARRON AND H. ISHII, The Bellman equation for minimizing the maximum cost, Nonlinear Anal., TMA 13 (1989), 1067-1090.
4. ∞, Appl. Math. Optim., to appear.
5. 5. E. N. BARRON AND R. JENSEN, Relaxed minimax control, SIAM J. Control Optim. 33 (1995), 1028-1039.
6. 6. E. N. BARRON AND R. JENSEN, Relaxation of constrained optimal control problems, SIAM J. Control Optim., to appear.
7. 7. M. G. CRANDALL AND P.-L. LIONS, Viscosity solutions of Hamilton Jacobi equations, Trans. Amer. Math. Soc. 277 (1983), 1-42.
8. 8. M. G. CRANDALL, L. C. EVANS, AND P.-L. LIONS, Some properties of viscosity solutions of Hamilton Jacobi equations, Trans. Amer. Math. Soc. 282 (1984), 487-502.
9. 9. L. C. EVANS, "Partial Differential Equations," Berkeley Mathematics Lecture Notes, Vols. 3A, 3B, 1993.
10. 10. P.-L. LIONS, "Generalized Solutions of Hamilton-Jacobi Equations," Research Notes in Mathematics, Vol. 62, Pitman, New York, 1982.