Large Deviations for Stochastic Heat Equation with Rough Dependence in Space

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Issue Date
2017-07-27
Author
Y, Hu
Nualart, David
Zhang, T
Publisher
Bernoulli Society
Type
Article
Article Version
Scholarly/refereed, Published version
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Abstract
In this paper we establish a large deviation principle for the nonlinear one dimensional stochastic heat equation driven by a Gaussian noise which is white in time and which has the covariance of a fractional Brownian motion with Hurst parameter H ∈( 14 ; 12) in the space variable.
URI
http://hdl.handle.net/1808/29850
DOI
https://doi.org/10.3150/16-BEJ880
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Citation
Hu, Y., Nualart, D., & Zhang, T. (2018). Large Deviations for Stochastic Heat Equation with Rough Dependence in Space. Bernoulli, 24(1), 354-385. https://doi.org/10.3150/16-BEJ880

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Copyright and moral rights for the publications made accessible in the Research Explorer are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.
Except where otherwise noted, this item's license is described as: Copyright and moral rights for the publications made accessible in the Research Explorer are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.