Spatial Homogenization of Stochastic Wave Equation with Large Interaction
Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 542-552

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A dynamical approximation of a stochastic wave equation with large interaction is derived. A random invariant manifold is discussed. By a key linear transformation, the random invariant manifold is shown to be close to the random invariant manifold of a second-order stochastic ordinary differential equation.
DOI : 10.4153/CMB-2015-083-4
Mots-clés : 60F10, 60H15, 35Q55, stochasticwave equation, homogeneous system, approximation, random invariant manifold, Neumann boundary condition
Jiang, Yongxin; Wang, Wei; Feng, Zhaosheng. Spatial Homogenization of Stochastic Wave Equation with Large Interaction. Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 542-552. doi: 10.4153/CMB-2015-083-4
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     author = {Jiang, Yongxin and Wang, Wei and Feng, Zhaosheng},
     title = {Spatial {Homogenization} of {Stochastic} {Wave} {Equation} with {Large} {Interaction}},
     journal = {Canadian mathematical bulletin},
     pages = {542--552},
     year = {2016},
     volume = {59},
     number = {3},
     doi = {10.4153/CMB-2015-083-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-083-4/}
}
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