@article{AIHPB_2000__36_2_167_0,
author = {Dawson, D. A. and Vaillancourt, J. and Wang, H.},
title = {Stochastic partial differential equations for a class of interacting measure-valued diffusions},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {167--180},
year = {2000},
publisher = {Gauthier-Villars},
volume = {36},
number = {2},
mrnumber = {1751657},
zbl = {0973.60077},
language = {en},
url = {https://www.numdam.org/item/AIHPB_2000__36_2_167_0/}
}
TY - JOUR AU - Dawson, D. A. AU - Vaillancourt, J. AU - Wang, H. TI - Stochastic partial differential equations for a class of interacting measure-valued diffusions JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2000 SP - 167 EP - 180 VL - 36 IS - 2 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPB_2000__36_2_167_0/ LA - en ID - AIHPB_2000__36_2_167_0 ER -
%0 Journal Article %A Dawson, D. A. %A Vaillancourt, J. %A Wang, H. %T Stochastic partial differential equations for a class of interacting measure-valued diffusions %J Annales de l'I.H.P. Probabilités et statistiques %D 2000 %P 167-180 %V 36 %N 2 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPB_2000__36_2_167_0/ %G en %F AIHPB_2000__36_2_167_0
Dawson, D. A.; Vaillancourt, J.; Wang, H. Stochastic partial differential equations for a class of interacting measure-valued diffusions. Annales de l'I.H.P. Probabilités et statistiques, Tome 36 (2000) no. 2, pp. 167-180. https://www.numdam.org/item/AIHPB_2000__36_2_167_0/
[1] , Infinitely divisible random measures and superprocesses, in: Proc. 1990 Workshop on Stochastic Analysis and Related Topics, Silivri, Turkey, 1992. | MR
[2] , , Stochastic McKean-Vlasov equations, Nonlinear Differential Eq. Appl. 2 (1995) 199-229. | Zbl | MR
[3] , , Probabilities and Potential B, North-Holland, Amsterdam, 1982. | Zbl | MR
[4] , Markov Processes, Springer, Berlin, 1965. | Zbl
[5] , , Markov Processes: Characterization and Convergence, Wiley, New York, 1986. | Zbl | MR
[6] , , , Branching Markov processes, I, II, III, J. Math. Kyoto Univ. 8 (1968) 233-278; 8 (1968) 365-410; 9 (1969) 95-160. | Zbl | MR
[7] , On the Skorohod topology, Ann. Inst. Henri Poincaré 22 (3) (1986) 263-285. | Numdam | Zbl | MR | EuDML
[8] , Continuity of the Ito stochastic integral in Hilbert spaces, Stochastics 59 ( 1996) 169-182. | Zbl | MR
[9] , The almost sure Skorohod representation for subsequences in nonmetric spaces, Theory Probab. Appl. 42 (2) (1997) 167-174. | Zbl | MR
[10] , , Stochastic partial differential equations for some measure-valued diffusions, Probab. Theory Related Fields 79 (1988) 201-225. | Zbl | MR
[11] , Existence, uniqueness and smoothness for a class of function valued stochastic partial differential equations, Stochastics 41 (1992) 177-199. | Zbl | MR
[12] , A stochastic Navier-Stokes equation for the vorticity of a two-dimensional fluid, Ann. Appl. Probab. 5 (1995) 1126-1160. | Zbl | MR
[13] , A class of quasilinear stochastic partial differential equations of McKean-Vlasov type with mass conservation, Probab. Theory Related Fields 102 (1995) 159-188. | Zbl | MR
[14] , Tightness of probabilities on C([0, 1], S') and D([0, 1], S'), Ann. Probab. 11 (1983) 989-999. | Zbl | MR
[15] , An introduction to stochastic partial differential equations, in: Lecture Notes in Math., Vol. 1180, 1986, pp. 265-439. | Zbl | MR
[16] , State classification for a class of measure-valued branching diffusions in a Brownian medium, Probab. Theory Related Fields 109 (1997) 39-55. | Zbl | MR
[17] , A class of measure-valued branching diffusions in a random medium, Stochastic Anal. Appl. 16 (4) (1998) 753-786. | Zbl | MR






