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- Title
Convergence of a branching and interacting particle system to the solution of a nonlinear stochastic PDE.
- Authors
Tindel, Samy; Viens, Frederi
- Abstract
The solution of a nonlinear parabolic SPDE on the circle, with multiplicative Gaussian noise that is white-noise in time and a bonafide function in space, is approximated by a system of branching and interacting particles. Convergence of the system is established in the space of continuousfunction-valued càdlàg processes via a mollification procedure.
- Subjects
PARTIAL differential equations; APPROXIMATION theory; RANDOM noise theory; PARTICLES; STATISTICAL correlation
- Publication
Random Operators & Stochastic Equations, 2004, Vol 12, Issue 2, p129
- ISSN
0926-6364
- Publication type
Article
- DOI
10.1515/156939704323074692