Nonlinear stochastic wave equation driven by rough noise
DOI10.1016/j.jde.2022.05.016zbMath1489.60116arXiv2110.13800OpenAlexW3211134268MaRDI QIDQ2672562
Xiong Wang, Shuhui Liu, Yaozhong Hu
Publication date: 13 June 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.13800
well-posednessHölder continuitystochastic wave equationdecomposition of wave kernelrough fractional noisesup \(L^p\)-norm
Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- On Hölder continuity of the solution of stochastic wave equations in dimension three
- Stochastic heat equation with rough dependence in space
- A minicourse on stochastic partial differential equations. Papers based on the presentations at the minicourse, Salt Lake City, UT, USA, May 8--19, 2006.
- Parabolic Anderson model with rough dependence in space
- Stochastic heat equation with general rough noise
- Fractional stochastic wave equation driven by a Gaussian noise rough in space
- The Cauchy problem for a nonlinear stochastic wave equation in any dimension
- Intermittency for the hyperbolic Anderson model with rough noise in space
- The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities
- SPDEs with affine multiplicative fractional noise in space with index \(\frac{1}{4} < H < \frac{1}{2}\)
- Analysis on Gaussian Spaces
- The Malliavin Calculus and Related Topics
- Hölder-Sobolev regularity of the solution to the stochastic wave equation in dimension three
- Regularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat Equation
This page was built for publication: Nonlinear stochastic wave equation driven by rough noise
