@article{AIHPB_1994__30_1_13_0, author = {Pardoux, E. and Williams, R. J.}, title = {Symmetric reflected diffusions}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {13--62}, publisher = {Gauthier-Villars}, volume = {30}, number = {1}, year = {1994}, mrnumber = {1262891}, zbl = {0794.60078}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1994__30_1_13_0/} }
Pardoux, E.; Williams, R. J. Symmetric reflected diffusions. Annales de l'I.H.P. Probabilités et statistiques, Tome 30 (1994) no. 1, pp. 13-62. http://archive.numdam.org/item/AIHPB_1994__30_1_13_0/
[1] The Semimartingale Structure of Reflecting Brownian Motion, Proc. Amer. Math. Soc., Vol. 108, 1990, pp. 1007-1010. | MR | Zbl
and ,[2] Some Potential Theory for Reflecting Brownian Motion in Hölder and Lipschitz Domains, Ann. Prob., Vol. 19, 1991, pp. 486-508. | MR | Zbl
and ,[3] Applications of Variational Inequalities in Stochastic Control, North-Holland, Amsterdam, 1982 (transl. of a book published in French, Dunod, Paris, 1978). | MR | Zbl
and ,[4] Conservative diffusions, Comm. Math. Physics, Vol. 94, 1984, pp. 293- 315. | MR | Zbl
,[5] Minimization of the Kullback Information of Diffusion Processes, Ann. Inst. Henri Poincaré, Vol. 30, 1994, pp. 83-132. | Numdam | MR | Zbl
and ,[6] On Reflecting Diffusion Processes and Skorokhod Decompositions, Probability Theory and Related Fields, Vol. 94, 1993, pp. 281-315. | MR | Zbl
,[7] Reflecting Brownian Motions: Quasimartingales and Strong Caccioppoli Sets, Potential Analysis, Vol. 2, 1993, pp. 219-243. | MR | Zbl
, and ,[8] Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 5, Evolution Problems I, Springer-Verlag, 1991 (transl. of a book published in French, Masson, Paris, 1985). | MR | Zbl
and ,[9] Dirichlet Forms and Markov Processes, Kodansha, North-Holland, Amsterdam, 1980. | MR | Zbl
,[10] Energy Forms and Diffusion Processes, in Mathematics and Physics-Lectures on Recent Results, Vol. 1, L. STREIT Ed., World Scientific, Singapore- Philadelphia, 1985. | MR | Zbl
,[11] The Analysis of Linear Partial Differential Operators III, SpringerVerlag, Berlin, 1985. | MR | Zbl
,[12] Limit Theorems for Stochastic Processes, Springer-Verlag, Berlin-Heidelberg, 1987. | MR | Zbl
and ,[13] Quasiconformal Mappings and Extendability of Functions in Sobolev Spaces, Acta Math., Vol. 147, 1981, pp. 71-88. | MR | Zbl
,[14] Brownian Motion and Stochastic Calculus, Springer-Verlag, New York, 1988. | MR | Zbl
and ,[15] Approximation of Population Processes, CBMS-NSF Regional Conference Series in Applied Math., SIAM, Philadelphia, PA, 1981. | MR | Zbl
,[16] Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations, Ann. Prob., Vol. 19, 1991, pp. 1035-1070. | MR | Zbl
and ,[17] Stochastic Differential Equations with Reflecting Boundary Conditions, Comm. Pure Appl. Math., Vol. 37, 1984, pp. 511-537. | MR | Zbl
and ,[18] A Crossing Estimate for the Canonical Process on a Dirichlet Space and a Tightness Result, Colloque Paul Lévy sur les Processus Stochastiques, Astérisque, Vol. 157-158, 1988, pp. 249-271. | Numdam | Zbl
and ,[19] Tightness Criteria for Laws of Semimartingales, Ann. Inst. Henri Poincaré, Vol. 20, 1984, pp. 357-372. | Numdam | MR | Zbl
and ,[20] Construction de processus de Nelson reversibles, Séminaire de Probabilités XIX, Lecture Notes in Math., Vol. 1123, Springer-Verlag, Berlin-Heidelberg-New York, 1985, pp. 12-26. | Numdam | MR | Zbl
and ,[21] Construction of Diffusions with a Given Density, in Stochastic Calculus in Application, J. R. NORRIS Ed., Pitman Research Notes in Math., Vol. 197, Longman, Harlow, U.K., 1988. | MR | Zbl
,[22] Grossissement d'une filtration et retournement du temps d'une diffusion, Séminaire de Probabilités XX, Lectures Notes in Math., Vol. 1204, Springer-Verlag, Berlin-Heidelberg, 1986, pp. 48-55. | Numdam | MR | Zbl
,[23] Stochastic Integration and Differential Equations: a New Approach, Springer, 1990. | MR | Zbl
,[24] Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970. | MR | Zbl
,[25] Multidimensional Diffusion Processes, Springer-Verlag, New York, 1979. | MR | Zbl
and ,[26] Diffusion Processes with Boundary Conditions, Comm. Pure Appl. Math., Vol. 24, 1971, pp. 147-225. | MR | Zbl
and ,[27] On Strong Solutions and Explicit Formulas for Solutions of Stochastic Integral Equations, Math. USSR Sbornik, Vol. 39, 1981, pp. 387-403. | Zbl
,[28] Reflected Brownian Motion: Hunt Process and Semimartingale Representation, to appear in Proceedings of the Barcelona Seminar on Stochastic Analysis, D. NUALART, M. SANZ SOLÉ Eds., Progress in Probability Series, Vol. 32, 1993, Birkhäuser, Boston. | MR | Zbl
,[29] On Reflecting Brownian Motion - a Weak Convergence Approach, Ann. Inst. Henri Poincaré, Vol. 26, 1990, pp. 461-488. | Numdam | MR | Zbl
and ,[30] Tightness Results for Laws of Diffusion Processes, Application to Stochastic Mechanics, Ann. Inst. Henri Poincaré, Vol. 21, 1985, pp. 103-124. | Numdam | MR | Zbl
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