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Behavior of the solution of a random semilinear heat equation
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Varadhan, S. R. S. and Zygouras, Nikos (2008) Behavior of the solution of a random semilinear heat equation. Communications on Pure and Applied Mathematics, Vol.61 (No.9). pp. 1298-1329. doi:10.1002/cpa.20256 ISSN 0010-3640.
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Official URL: http://dx.doi.org/10.1002/cpa.20256
Abstract
We consider a semilinear heat equation in one space dimension, with a random source at the origin. We study the solution, which describes the equilibrium of this system, and prove that, as the space variable tends to infinity, the solution becomes a.s. asymptotic to a steady state. We also study the fluctuations of the solution around the steady state.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Journal or Publication Title: | Communications on Pure and Applied Mathematics | ||||
Publisher: | John Wiley & Sons | ||||
ISSN: | 0010-3640 | ||||
Official Date: | September 2008 | ||||
Dates: |
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Volume: | Vol.61 | ||||
Number: | No.9 | ||||
Page Range: | pp. 1298-1329 | ||||
DOI: | 10.1002/cpa.20256 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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