@article{AIHPB_1985__21_1_1_0, author = {Bafico, R. and Pistone, G.}, title = {G-convergence of generators and weak convergence of diffusions}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {1--13}, publisher = {Gauthier-Villars}, volume = {21}, number = {1}, year = {1985}, mrnumber = {791265}, zbl = {0559.60062}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1985__21_1_1_0/} }
TY - JOUR AU - Bafico, R. AU - Pistone, G. TI - G-convergence of generators and weak convergence of diffusions JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1985 SP - 1 EP - 13 VL - 21 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1985__21_1_1_0/ LA - en ID - AIHPB_1985__21_1_1_0 ER -
Bafico, R.; Pistone, G. G-convergence of generators and weak convergence of diffusions. Annales de l'I.H.P. Probabilités et statistiques, Tome 21 (1985) no. 1, pp. 1-13. http://archive.numdam.org/item/AIHPB_1985__21_1_1_0/
[1] Stopping Times and Tightness, Ann. of Proba., t. 6, 1978, p. 335-340. | MR | Zbl
,[2] Sobolev Spaces, Academic Press, New York, 1975. | MR | Zbl
,[3] Applications des inéquations variationnelles en contrôle stochastique, Bordas (Dunod), Paris, 1978. | MR | Zbl
, ,[4] Asymptotic Analysis for Periodic Structure, North-Holland, New York, 1978. | MR | Zbl
, , ,[5] Convergence of Probability Measures, Wiley, New York, 1968. | MR | Zbl
,[6] Solvability of the Dirichelet Problem in H2,p(Ω) for a Class of Linear Second Order Elliptic Partial Differential Equations. Bollettino UMI, t. 4, 1971, p. 374-387. | MR | Zbl
,[7] Sulla convergenza degli integrali dell'energia per operatori ellittici del secondo ordine, Bollettino UMI, t. 8, 1973, p. 391-411. | MR | Zbl
GIORGI, ,[8] Stochastic Differential Equations and Applications, Vol. 1, Academic Press, New York, 1975. | MR | Zbl
,[9] Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, 1977. | MR | Zbl
, ,[10] Certain Bounds on the Density of the Distribution of Stochastic Integrals, Izv. Akad. Nauk., t. 38, 1974, p. 228-248. | Zbl
,[11] Linear and Quasi-linear Equations of Parabolic Type, American Mathematical Society, Providence, 1968. | Zbl
, , ,[12] Problèmes aux limites non homogènes et Applications, Vol. 3, Dunod, Paris, 1968. | MR | Zbl
, ,[13] Équations différentielles opérationnelles et problèmes aux limites, Springer-Verlag, Berlin, 1961. | MR | Zbl
,[14] Sufficient Conditions for Tightness and Weak Convergence of a Sequence of Processes, University of Minnesota, Minneapolis.
,[15] An Lp-estimate for the Gradient of Solutions of Second Order Elliptic Divergence Equation, Ann. Scuola Normale Superiore Pisa, t. 17, 1963, p. 189-206. | Numdam | MR | Zbl
,[16] La méthode des martingales appliquée à l'étude de la convergence en loi de processus, Bull. Soc. Mat. France mémoire, t. 62, 1979. | Numdam | Zbl
,[17] Sul limite delle soluzioni di problemi di Cauchy relativi alla equazione del calore, Ann. Scuola Norm. Sup. Pisa, t. 21, 1967, p. 657-699. | Numdam | MR | Zbl
,[18] Sulla convergenza di soluzioni di equazioni ellittiche e paraboliche, Ann. Scuola Norm. Sup. Pisa, t. 22, 1968, p. 571-597. | Numdam | MR | Zbl
,[19] Multidimensional Diffusion Processes, Springer-Verlag, New York, 1979. | MR | Zbl
, ,[20] Diffusion Processes with continuous coefficients I, II, Comm. Pure Appl. Math., t. 24, 1969, p. 345-400, p. 479-530. | MR | Zbl
, ,[21] A transformation of the phase space of a Diffusion Process that Removes the Drift, Math. Sbornik, t. 93, 1974, p. 135, (English transl., Math. USSR Sbornik, t. 22, 1974, p. 129-145). | MR | Zbl
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