Comparison results for Hamilton-Jacobi equations without grwoth condition on solutions from above

Applicable Analysis

Volumn 67, Issue 3-4, 1997, Pages 357-372

  Ishii, Hitoshi ^a  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

Comparison theorem; Hamilton Jacobi equations; Viscosity solutions

Indexed keywords

EID: 0011104022     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819708840617     Document Type: Article

References (5)

1. Alvarez, O., in press. Bounded from below solutions of Hamilton-Jacobi equations.
2. Bardi, M., and Da Lio, F., in press. On the Bellman equation for some unbounded control problems.
3. Barles, G., 1990. Uniqueness and regularity results for first-order Hamilton-Jacobi equations. Indiana Univ. Math. J, 39 (2): 443–466.
4. Crandall, M.G., Ishii, H., and Lions, P.L., 1987. Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited. J. Math. Soc. Japan, 39: 581–595.
5. McEneaney, W.M., 1995. Uniqueness for viscosity solutions of nonstationary Hamilton-Jacobi-Bellman equations under some a priori conditions. SIAM. J. Control and Optim, 33: 1560–1576. (with applications)