2003-12-01
A degenerate stochastic partial differential equation for the purely atomic superprocess with dependent spatial motion
Publication
Publication
Infinite Dimensional Analysis, Quantum Probability and Related Topics
,
Volume 6
-
Issue 4
p. 597-
607
A purely atomic superprocess with dependent spatial motion is characterized as the pathwise unique solution of a stochastic partial differential equation, which is driven by a time-space white noise defining the spatial motion and a sequence of independent Brownian motions defining the branching mechanism.
| Additional Metadata | |
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| Keywords | Dependent spatial motion, Existence of solution, Pathwise uniqueness, Purely atomic superprocess, Stochastic partial differential equation |
| Persistent URL | dx.doi.org/10.1142/S0219025703001377 |
| Journal | Infinite Dimensional Analysis, Quantum Probability and Related Topics |
| Citation |
Dawson, D.A, Li, Z. (Zenghu), & Wang, H. (Hao). (2003). A degenerate stochastic partial differential equation for the purely atomic superprocess with dependent spatial motion. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 6(4), 597–607. doi:10.1142/S0219025703001377
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