Some results regarding an equation of Hamilton-Jacobi type
C. Schmidt-Laine; T. K. Edarh-Bossou
Archivum Mathematicum (1999)
- Volume: 035, Issue: 3, page 203-214
- ISSN: 0044-8753
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topSchmidt-Laine, C., and Edarh-Bossou, T. K.. "Some results regarding an equation of Hamilton-Jacobi type." Archivum Mathematicum 035.3 (1999): 203-214. <http://eudml.org/doc/248375>.
@article{Schmidt1999,
abstract = {The main goal is to show that the pointwise Osserman four-dimensional pseudo-Riemannian manifolds (Lorentzian and manifolds of neutral signature $(--++)$) can be characterized as self dual (or anti-self dual) Einstein manifolds. Also, examples of pointwise Osserman manifolds which are not Osserman are discussed.},
author = {Schmidt-Laine, C., Edarh-Bossou, T. K.},
journal = {Archivum Mathematicum},
keywords = {self-dual manifolds; manifolds of neutral signature; Jacobi operator; Einstein manifolds; Hump effect; striated media; homogenization; viscosity solution},
language = {eng},
number = {3},
pages = {203-214},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some results regarding an equation of Hamilton-Jacobi type},
url = {http://eudml.org/doc/248375},
volume = {035},
year = {1999},
}
TY - JOUR
AU - Schmidt-Laine, C.
AU - Edarh-Bossou, T. K.
TI - Some results regarding an equation of Hamilton-Jacobi type
JO - Archivum Mathematicum
PY - 1999
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 035
IS - 3
SP - 203
EP - 214
AB - The main goal is to show that the pointwise Osserman four-dimensional pseudo-Riemannian manifolds (Lorentzian and manifolds of neutral signature $(--++)$) can be characterized as self dual (or anti-self dual) Einstein manifolds. Also, examples of pointwise Osserman manifolds which are not Osserman are discussed.
LA - eng
KW - self-dual manifolds; manifolds of neutral signature; Jacobi operator; Einstein manifolds; Hump effect; striated media; homogenization; viscosity solution
UR - http://eudml.org/doc/248375
ER -
References
top- Barles G., Solutions de viscosité des équations d’Hamilton-Jacobi du premier ordre et applications, Faculté des Sciences et Techniques; Parc de Grandmont Tours-France.
- Brauner C.M., Edarh-Bossou T.K., Namah G., Schmidt-Lainé C., Pré-étude sur l’homogénéisation de l’effet “Hump”, Rapport, Univ Bordeaux I, Ens-Lyon, Juin 1990. (1990)
- Crandall M.G., Evans L.C., Lions P.L., Some properties of viscosity solutions of Hamilton-Jacobi equations, AMS 282(1984), No 2. (1984) Zbl0543.35011MR0732102
- Crandall M.G., Ishii H., Lions P.L., User’s guide to viscosity solutions of second order partial differential equation, AMS 27(1992), No 1, 1-63. (1992) MR1118699
- Crandall M.G., Lions P.L., Viscosity solutions of Hamilton-Jacobi equations, AMS 277(1983), No 1. (1983) Zbl0599.35024MR0690039
- Edarh-Bossou T.K., Modélisation numérique de la combustion d’un bloc de propergol solide - effet hump, DEA, Univ Claude-Bernard Lyon I-ENS Lyon, 1989. (1989)
- Edarh-Bossou T.K., Etude de la propagation d’un front de flamme dans un milieu strié, thèse de Doctorat, Univ. Claude-Bernard Lyon I-ENS Lyon, 1993. (1993)
- Lions P.D., Generalized solutions of Hamilton-Jacobi equations, Pitman, London 1982. (1982) Zbl0497.35001
- Lions P.D., Papanicolau G., Varadan S.R.S., Homogenization of Hamilton-Jacobi equation, Preprint, Univ. Paris Dauphine, 1987. (1987)
- Namah G., Etude de deux modèles de combustion en phase gazeuse et en milieu strié, thèse de Doctorat, Univ. Bordeaux I, 1990. (1990)
- Ribereau D., Génération d’un logiciel de simulation de la combustion d’un bloc de propergol solide, thèse de Doctorat, Univ. Bordeaux I, 1988. (1988)
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