Well-posedness of the martingale problem for super-Brownian motion with interactive branching (Q6171653)
From MaRDI portal
scientific article; zbMATH DE number 7726173
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Well-posedness of the martingale problem for super-Brownian motion with interactive branching |
scientific article; zbMATH DE number 7726173 |
Statements
Well-posedness of the martingale problem for super-Brownian motion with interactive branching (English)
0 references
14 August 2023
0 references
The authors consider a martingale problem for super-Brownian motion with interactive branching. The uniqueness of the solution to the martingale problem is obtained by using the pathwise uniqueness of the solution to a corresponding system of SPDEs with proper boundary conditions. The existence of the solution to the martingale problem and the local Hölder continuity of the density process are also studied.
0 references
super-Brownian motion
0 references
interacting branching
0 references
function-valued process
0 references
stochastic partial differential equation
0 references
0 references
0 references
0 references
0 references
