Weak convergence for the fourth-order stochastic heat equation with fractional noises

DOI10.1007/s40840-017-0457-0zbMath1361.60050OpenAlexW2571813385MaRDI QIDQ523207

Yang Yang, Jun-Feng Liu, Guang Jun Shen

Publication date: 20 April 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-017-0457-0

zbMATH Keywords

weak convergencedouble-parameter fractional noisesfourth-order stochastic heat equation

Mathematics Subject Classification ID

Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

• Unnamed Item
• On a jump-type stochastic fractional partial differential equation with fractional noises
• The high-order SPDEs driven by multi-parameter fractional noises
• Weak convergence for the stochastic heat equation driven by Gaussian white noise
• Stochastic generalized Burgers equations driven by fractional noises
• Stochastic heat equation driven by fractional noise and local time
• Weak convergence to the fractional Brownian sheet and other two-parameter Gaussian processes.
• Weak approximation of the Wiener process from a Poisson process: the multidimensional parameter set case
• Chaos expansion of heat equations with white noise potentials
• Large deviation principle for the fourth-order stochastic heat equations with fractional noises
• Approximation in law to the \(d\)-parameter fractional Brownian sheet based on the functional invariance principle
• WEAK CONVERGENCE FOR QUASILINEAR STOCHASTIC HEAT EQUATION DRIVEN BY A FRACTIONAL NOISE WITH HURST PARAMETER H ∈ (½, 1)
• Weak convergence to fractional brownian motion and to the rosenblatt process
• On a Class of Stochastic Anderson Models with Fractional Noises
• REGULARIZATION OF QUASILINEAR HEAT EQUATIONS BY A FRACTIONAL NOISE
• Heat equations with fractional white noise potentials
• Cahn-Hilliard stochastic equation: Existence of the solution and of its density

This page was built for publication: Weak convergence for the fourth-order stochastic heat equation with fractional noises