@article{AIHPC_1989__S6__229_0,
author = {Evans, L. C. and Souganidis, Panagiotis E. and Fournier, Gilles and Willem, M.},
title = {A PDE approach to certain large deviation problems for systems of parabolic equations},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {S6},
year = {1989},
pages = {229-258},
mrnumber = {1019116},
zbl = {0679.60040},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_1989__S6__229_0}
}
Evans, L. C.; Souganidis, P. E.; Fournier, G.; Willem, M. A PDE approach to certain large deviation problems for systems of parabolic equations. Annales de l'I.H.P. Analyse non linéaire, Tome S6 (1989) pp. 229-258. http://gdmltest.u-ga.fr/item/AIHPC_1989__S6__229_0/
1. , and , Asymptotic Analysis for Periodic Structure, North-Holland, Amsterdam, 1978. | MR 503330 | Zbl 0404.35001
2. , , and , Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. AMS 82 (1984), 487-502. | MR 732102 | Zbl 0543.35011
3. and , Viscosity solutions of Hamilton-Jacobi equations, Trans. AMS 277 (1983), 1-42. | MR 690039 | Zbl 0599.35024
4. and , On a variational formula for the principal eigenvalue for operators with a maximum principle, Proc. Nat. Acad. Sci. USA 72 (1975), 780-783. | MR 361998 | Zbl 0353.49039
5. , Entropy, Large Deviations and Statistical Mechanisms, Springer, New York, 1985. | MR 793553 | Zbl 0566.60097
6. and , A PDE approach to some asymptotic problems concerning random differential equation with small noise intensities, Ann. L'Institut H. Poincaré 2 (1985), 1-20. | Numdam | MR 781589 | Zbl 0601.60076
7. and , Differential games and representation formulas for solutions of Hamilton-Jacobi equations, Indiana U. Math. J. 33 (1984), 773-797. | MR 756158 | Zbl 1169.91317
8. and , A PDE approach to geometric optics for certain semilinear parabolic equations, to appear. | MR 982575 | Zbl 0692.35014
9. and , A PDE approach to asymptotic estimates for optional exit probabilities, Annali Scuola Norm. Sup. Pisa.
10. and , Random Perturbations of Dynamical Systems, Springer, New York, 1984. | MR 722136 | Zbl 0522.60055
11. , The Theory of Matrices (Vol. II), Chelsea, New York, 1959.
12. and , A First Course in Stochastic Processes (2nd ed.), Academic Press, New York, 1975. | MR 356197 | Zbl 0315.60016
13. , An asymptotic formula for solutions of Hamilton-Jacobi-Bellman equations, preprint. | MR 881728
14. , Existence of viscosity solutions of Hamilton-Jacobi equations, J. Diff. Eq. 56 (1985), 345-390. | MR 780496 | Zbl 0506.35020