Uniqueness for a mutually catalytic branching model

Probability Theory and Related Fields

Volumn 112, Issue 2, 1998, Pages 245-253

  Mytnik, Leonid ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Duality; Martingale problem; Stochastic partial differential equation

Indexed keywords

EID: 0032187777     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050189     Document Type: Article

References (6)

1. Dawson, D., Perkins, E.: Long-time behaviour and co-existence in a mutually catalytic branching model. To appear in The Annals of Probability, 1998.
2. Ethier, S.N., Kurtz, T.G.: Markov Processes: Characterization and Convergence. John Wiley and Sons, New York, 1986.
3. Mytnik, L.: Superprocesses in random environments. The Annals of Probability, 24, 1953-1978 (1996)
4. Mytnik, L.: Weak uniqueness for the heat equation with noise. To appear in The Annals of Probability, 1998.
5. Shiga, T.: Two contrasting properties of solutions for one-dimensional stochastic partial differential equations. Can. J. Math., 46(2), 415-437 (1994)
6. Walsh, J.: An introduction to stochastic partial differential equations. Lecture Notes in Mathematics, 1180, 265-439 (1986)