On the Uniqueness Problem for Catalytic Branching Networks and Other Singular Diffusions

@inproceedings{PERKINS2005OnTU,
  title={On the Uniqueness Problem for Catalytic Branching Networks and Other Singular Diffusions},
  author={E. A. PERKINS},
  year={2005}
}
  • E. A. PERKINS
  • Published 2005
Weak uniqueness is established for the martingale problem associated to a family of catalytic branching networks. This martingale problem corresponds to a stochastic differential equation with a degenerate Hölder continuous diffusion matrix. Our approach uses the semigroup perturbation method of Stroock and Varadhan and a modification of a Banach space of weighted Hölder continuous functions introduced by Bass and Perkins. 

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 12 references

Catalytic and mutually catalytic branching, in Infinite Dimensional Stochastic Analysis, eds

  • D. A. Dawson, K. Fleischmann
  • 2000

Dawson-Watanabe Superprocesses and Measure-valued Diffusions

  • E. A. Perkins
  • In Lectures on Probability Theory and Statistics…
  • 1999

Long-time behavior and coexistence in a mutually catalytic branching model, Ann. Probab

  • D. A. Dawson, E. A. Perkins
  • 1998

Uniqueness for a mutually catalytic branching model, Probab

  • L. Mytnik
  • Theory Related Fields
  • 1998

Similar Papers

Loading similar papers…