Joint continuity of the solutions to a class of nonlinear SPDEs

DOI10.1007/s00440-011-0351-xzbMath1408.60055OpenAlexW2050389415MaRDI QIDQ714955

Jie Xiong, Hao Wang, Zhenghu Li, Xiao-Wen Zhou

Publication date: 12 October 2012

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-011-0351-x

zbMATH Keywords

random environmentsuperprocessstochastic partial differential equation

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)

Related Items (1)

Hölder continuity of the solutions to a class of SPDE's arising from branching particle systems in a random environment

Cites Work

• Some properties of superprocesses under a stochastic flow
• Intermittence and nonlinear parabolic stochastic partial differential equations
• Stochastic partial differential equations for some measure-valued diffusions
• One dimensional stochastic partial differential equations and the branching measure diffusion
• State classification for a class of measure-valued branching diffusions in a Brownian medium
• Particle representations for a class of nonlinear SPDEs
• Superprocesses with dependent spatial motion and general branching densities
• Superprocesses over a stochastic flow
• Stochastic partial differential equations for a class of interacting measure-valued diffusions
• Conditional log-Laplace functionals of immigration superprocesses with dependent spatial mo\-tion
• A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems
• A class of measure-valued branching diffusions in a random medium
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