@inproceedings{f18805b88b5a4d89bad2e5ada7b821f7,

title = "Intermittency and Chaos for a Nonlinear Stochastic Wave Equation in Dimension 1",

abstract = "Consider a nonlinear stochastic wave equation driven by space-time white noise in dimension one. We discuss the intermittency of the solution, and then use those intermittency results in order to demonstrate that in many cases the solution is chaotic. For the most part, the novel portion of our work is about the two cases where (1) the initial conditions have compact support, where the global maximum of the solution remains bounded, and (2) the initial conditions are positive constants, where the global maximum is almost surely infinite. Bounds are also provided on the behavior of the global maximum of the solution in Case (2).",

keywords = "Chaos, Intermittency, The stochastic wave equation",

author = "Daniel Conus and Mathew Joseph and Davar Khoshnevisan and Shiu, {Shang Yuan}",

year = "2013",

doi = "10.1007/978-1-4614-5906-4_11",

language = "???core.languages.en_GB???",

isbn = "9781461459057",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer New York LLC",

pages = "251--279",

booktitle = "Malliavin Calculus and Stochastic Analysis",

}