Intermittency and Chaos for a Nonlinear Stochastic Wave Equation in Dimension 1

DOI10.1007/978-1-4614-5906-4_11zbMath1274.60198arXiv1112.1909OpenAlexW206202341MaRDI QIDQ2841784

Daniel Conus, Shang-Yuan Shiu, Mathew Joseph, Davar Khoshnevisan

Publication date: 30 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.1909

zbMATH Keywords

chaosintermittencythe stochastic wave equation

Mathematics Subject Classification ID

Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stochastic integral equations (60H20)

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Cites Work

• Unnamed Item
• Unnamed Item
• Solving the KPZ equation
• On the chaotic character of the stochastic heat equation, before the onset of intermitttency
• A rigorous equation for the Cole-Hopf solution of the conservative KPZ equation
• On the global maximum of the solution to a stochastic heat equation with compact-support initial data
• Intermittency properties in a hyperbolic Anderson problem
• The non-linear stochastic wave equation in high dimensions
• Intermittence and nonlinear parabolic stochastic partial differential equations
• Random nonlinear wave equations: Propagation of singularities
• On the \(L^p\) norms of stochastic integrals and other martingales
• Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
• The stochastic wave equation in two spatial dimensions
• The stochastic heat equation: Feynman-Kac formula and intermittence.
• Some non-linear s. p. d. e's that are second order in time
• Geometric characterization of intermittency in the parabolic Anderson model
• On the existence and position of the farthest peaks of a family of stochastic heat and wave equations
• Extrapolation and interpolation of quasi-linear operators on martingales
• L\({}^ p\) estimates on iterated stochastic integrals
• Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
• Dynamic Scaling of Growing Interfaces
• On the support of solutions to the heat equation with noise
• Martingale Transforms
• Parabolic Anderson problem and intermittency

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