We establish connections between superdiffusion processes and one class of nonlinear parabolic differential equations. Analytic results due to Brezis and Friedman, Baras and Pierre and others are used to investigate the graphs of superdiffusions. A survey of the literature and general comments are presented in Section 4.
Publié le : 1992-04-14
Classification:
Measure-valued processes,
superprocesses,
probabilistic solution of nonlinear partial differential equations,
graph of a superprocess,
capacities,
polar sets,
60J60,
35K15,
60G57,
60J45,
35K55
@article{1176989812,
author = {Dynkin, E. B.},
title = {Superdiffusions and Parabolic Nonlinear Differential Equations},
journal = {Ann. Probab.},
volume = {20},
number = {4},
year = {1992},
pages = { 942-962},
language = {en},
url = {http://dml.mathdoc.fr/item/1176989812}
}
Dynkin, E. B. Superdiffusions and Parabolic Nonlinear Differential Equations. Ann. Probab., Tome 20 (1992) no. 4, pp. 942-962. http://gdmltest.u-ga.fr/item/1176989812/