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Single valuedness from weakly coercive Hamiltonians
Author(s):
Richard
T.
Newcomb II;
Jianzhong
Su II
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1411-1415.
MSC (1991):
Primary 35F20, 35B65, 26B25
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Abstract:
We define a class of weakly coercive Hamiltonians and then demonstrate the single valuedness of the associated Hamilton-Jacobi operators (in the viscosity sense).
References:
- 1.
- T. Bonnesen and W. Fenchel, Theorie der Konvexen Körper, Chelsea, New York, 1948. MR 51:8954
- 2.
- 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. MR 86a:35031
- 3.
- M. G. Crandall, H. Ishii, and P. L. Lions, User's Guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N. S.) 27 (1) (1992), 1--67. MR 92j:35050
- 4.
- M. G. Crandall and P. L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1983), 1--42. MR 85g:35029
- 5.
- H. Frankowska, On the Single Valuedness of Hamilton-Jacobi Operators, Nonlinear Anal. 10 (1986), 1477--1483. MR 88g:35050
- 6.
- H. Minkowski, Volumen und Oberfläche, Math. Ann. 57 (1903), 447--495.
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Additional Information:
Richard
T.
Newcomb
II
Affiliation:
Department of Mathematics, University of Texas at Arlington, Arlington, Texas 76019
Jianzhong
Su
II
Affiliation:
Department of Mathematics, University of Texas at Arlington, Arlington, Texas 76019
Address at time of publication:
R. T. Newcomb: Cistercian Preparatory School, One Cistercian Road, Irving, Texas 75039
Email:
jzsu@utamat.uta.edu
DOI:
10.1090/S0002-9939-96-03511-3
PII:
S 0002-9939(96)03511-3
Keywords:
Viscosity solution,
coerciveness,
single valuedness,
Hamilton-Jacobi equations
Received by editor(s):
November 9, 1993
Communicated by:
Barbara Lee Keyfitz
Copyright of article:
Copyright
1996,
American Mathematical Society
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