Hölder continuity of the solutions for a class of nonlinear SPDE's arising from one dimensional superprocesses

DOI10.1007/s00440-012-0419-2zbMath1391.60159arXiv1105.1480OpenAlexW2073228274MaRDI QIDQ1955830

David Nualart, Fei Lu, Yaozhong Hu

Publication date: 19 June 2013

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

Full work available at URL: https://arxiv.org/abs/1105.1480

zbMATH Keywords

Malliavin calculusHölder continuitymoment estimatesnonlinear stochastic partial differential equationconditional transition probability density in a random environmentstochastic heat kernel

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (3)

Hölder continuity for stochastic fractional heat equation with colored noise ⋮ On a class of mixed stochastic heat equations driven by spatially homogeneous Gaussian noise ⋮ Hölder continuity of the solutions to a class of SPDE's arising from branching particle systems in a random environment

Cites Work

• 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
• Superprocesses with dependent spatial motion and general branching densities
• Stochastic partial differential equations for a class of interacting measure-valued diffusions
• The Malliavin Calculus and Related Topics
• A class of measure-valued branching diffusions in a random medium
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hölder continuity of the solutions for a class of nonlinear SPDE's arising from one dimensional superprocesses