@article{ASNSP_1987_4_14_4_569_0,
author = {Bardi, Martino},
title = {An asymptotic formula for the {Green's} function of an elliptic operator},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {569--586},
year = {1987},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 14},
number = {4},
mrnumber = {963490},
zbl = {0672.35016},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1987_4_14_4_569_0/}
}
TY - JOUR AU - Bardi, Martino TI - An asymptotic formula for the Green's function of an elliptic operator JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1987 SP - 569 EP - 586 VL - 14 IS - 4 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1987_4_14_4_569_0/ LA - en ID - ASNSP_1987_4_14_4_569_0 ER -
%0 Journal Article %A Bardi, Martino %T An asymptotic formula for the Green's function of an elliptic operator %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1987 %P 569-586 %V 14 %N 4 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1987_4_14_4_569_0/ %G en %F ASNSP_1987_4_14_4_569_0
Bardi, Martino. An asymptotic formula for the Green's function of an elliptic operator. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 14 (1987) no. 4, pp. 569-586. https://www.numdam.org/item/ASNSP_1987_4_14_4_569_0/
[1] , , , Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 282 (1984), pp. 487-502. | Zbl | MR
[2] , , Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1983), pp. 1-42. | Zbl | MR
[3] , Exponential leveling for stochastically perturbed dynamical systems, SIAM J. Math. Anal. 13 (1982), pp. 532-540. | Zbl | MR
[4] , , A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities, Ann. Inst. H. Poincaré Anal. Non Linéaire 2 (1985), pp. 1-20. | Zbl | MR | Numdam
[5] , Exit probabilities and stochastic optimal control, Appl. Math. Optim. 4 (1978), pp. 329-346. | Zbl | MR
[6] , , Random perturbations of dynamical systems, Springer-Verlag, New York 1984. | Zbl | MR
[7] , Small random perturbations of dynamical systems and applications to parabolic equations, Indiana Univ. Math. J. 24 (1974), pp. 533-553; Erratum, ibid. 24 (1975), p. 903. | Zbl | MR
[8] , Stochastic differential equations and applications, Vol. 2, Academic Press, New York 1976. | Zbl | MR
[9] , , Elliptic partial differential equations of second order, 2nd edition, Springer-Verlag, Berlin 1983. | Zbl | MR
[10] , , The Green function for uniformly elliptic equations, Manuscripta Math. 37 (1982), pp. 303-342. | Zbl | MR
[11] , On elliptic singular perturbation problems with several turning points, in: Theory and applications of singular perturbations, W. Eckhaus and E.M. de Jager eds., Lecture Notes in Math. 942, Springer-Verlag 1982. | Zbl
[12] , Exponential descent of solutions of elliptic singular perturbation problems, Comm. Partial Differential Equations 9 (1984), pp. 197-213. | Zbl | MR
[13] , The first boundary value problem for ε Δu + A(x, y)ux + B (x, y)uy + C (x,y)u = D (x, y) for small ε, Ann. of Math. 51 (1950), pp. 428-445. | Zbl
[14] , Generalized solutions of Hamilton-Jacobi equations, Pitman, Boston 1982. | Zbl | MR
[15] , Singular perturbation methods in stochastic differential equations of mathematical physics, SIAM Rev. 22 (1980), pp. 119-155. | Zbl | MR
[16] , Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble) 15 (1965), pp. 189-258. | Zbl | MR | Numdam
[17] , On the behavior of the fundamental solution of the heat equation with variable coefficients, Comm. Pure Appl. Math. 20 (1967), pp. 431-455. | Zbl | MR
[18] , Diffusion processes in a small time interval, Comm. Pure Appl. Math. 20 (1967), pp. 659-685. | Zbl | MR
[19] , Singular perturbation problems and the Hamilton-Jacobi equation, Integral Equations Operator Theory 9 (1986), pp. 95-105. | Zbl | MR





