A DEGENERATE STOCHASTIC PARTIAL DIFFERENTIAL EQUATION FOR THE PURELY ATOMIC SUPERPROCESS WITH DEPENDENT SPATIAL MOTION

DOI10.1142/S0219025703001377zbMath1044.60079WikidataQ115245787 ScholiaQ115245787MaRDI QIDQ4467383

Hao Wang, Zhenghu Li, Donald A. Dawson

Publication date: 9 June 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

existence of solutionstochastic partial differential equationpathwise uniquenessdependent spatial motionpurely atomic superprocess

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Transition functions, generators and resolvents (60J35)

Related Items (5)

On the extinction-extinguishing dichotomy for a stochastic Lotka-Volterra type population dynamical system ⋮ A class of stochastic partial differential equations for interacting superprocesses on a bounded domain ⋮ CONDITIONAL ENTRANCE LAWS FOR SUPERPROCESSES WITH DEPENDENT SPATIAL MOTION ⋮ A degenerate stochastic partial differential equation for superprocesses with singular interaction ⋮ On the differential equation satisfied by the random measure density of a jump-type Fleming–Viot process

Cites Work

• Unnamed Item
• Stochastic partial differential equations for some measure-valued diffusions
• State classification for a class of measure-valued branching diffusions in a Brownian medium
• State classification for a class of interacting superprocesses with location dependent branching
• Stochastic partial differential equations for a class of interacting measure-valued diffusions
• A class of measure-valued branching diffusions in a random medium

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