@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}, publisher = {Gauthier-Villars}, volume = {36}, number = {2}, year = {2000}, mrnumber = {1751657}, zbl = {0973.60077}, language = {en}, url = {http://archive.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 - http://archive.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 http://archive.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. http://archive.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. | MR | Zbl
, ,[3] Probabilities and Potential B, North-Holland, Amsterdam, 1982. | MR | Zbl
, ,[4] Markov Processes, Springer, Berlin, 1965. | Zbl
,[5] Markov Processes: Characterization and Convergence, Wiley, New York, 1986. | MR | Zbl
, ,[6] Branching Markov processes, I, II, III, J. Math. Kyoto Univ. 8 (1968) 233-278; 8 (1968) 365-410; 9 (1969) 95-160. | MR | Zbl
, , ,[7] On the Skorohod topology, Ann. Inst. Henri Poincaré 22 (3) (1986) 263-285. | EuDML | Numdam | MR | Zbl
,[8] Continuity of the Ito stochastic integral in Hilbert spaces, Stochastics 59 ( 1996) 169-182. | MR | Zbl
,[9] The almost sure Skorohod representation for subsequences in nonmetric spaces, Theory Probab. Appl. 42 (2) (1997) 167-174. | MR | Zbl
,[10] Stochastic partial differential equations for some measure-valued diffusions, Probab. Theory Related Fields 79 (1988) 201-225. | MR | Zbl
, ,[11] Existence, uniqueness and smoothness for a class of function valued stochastic partial differential equations, Stochastics 41 (1992) 177-199. | MR | Zbl
,[12] A stochastic Navier-Stokes equation for the vorticity of a two-dimensional fluid, Ann. Appl. Probab. 5 (1995) 1126-1160. | MR | Zbl
,[13] A class of quasilinear stochastic partial differential equations of McKean-Vlasov type with mass conservation, Probab. Theory Related Fields 102 (1995) 159-188. | MR | Zbl
,[14] Tightness of probabilities on C([0, 1], S') and D([0, 1], S'), Ann. Probab. 11 (1983) 989-999. | MR | Zbl
,[15] An introduction to stochastic partial differential equations, in: Lecture Notes in Math., Vol. 1180, 1986, pp. 265-439. | MR | Zbl
,[16] State classification for a class of measure-valued branching diffusions in a Brownian medium, Probab. Theory Related Fields 109 (1997) 39-55. | MR | Zbl
,[17] A class of measure-valued branching diffusions in a random medium, Stochastic Anal. Appl. 16 (4) (1998) 753-786. | MR | Zbl
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