Averaging approximation to singularly perturbed nonlinear stochastic wave equations

Yan Lv; A. J. Roberts

doi:10.1063/1.4726175

Averaging approximation to singularly perturbed nonlinear stochastic wave equations

Journal of Mathematical Physics ◽

10.1063/1.4726175 ◽

2012 ◽

Vol 53 (6) ◽

pp. 062702 ◽

Cited By ~ 5

Author(s):

Yan Lv ◽

A. J. Roberts

Keyword(s):

Wave Equations ◽

Singularly Perturbed ◽

Stochastic Wave Equations

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Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise

Advances in Difference Equations ◽

10.1186/s13662-020-02664-3 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Huazhen Yao ◽

Jianwen Zhang

Keyword(s):

White Noise ◽

Wave Equations ◽

Nonlinear Damping ◽

Stochastic Wave Equations ◽

Random Attractors

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Observability estimates for stochastic wave equations

10.1109/chicc.2008.4605891 ◽

2008 ◽

Author(s):

Zhang Xu

Keyword(s):

Wave Equations ◽

Stochastic Wave Equations ◽

Observability Estimates

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Spectral Galerkin method for stochastic wave equations driven by space-time white noise

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2007.6.607 ◽

2007 ◽

Vol 6 (3) ◽

pp. 607-617 ◽

Cited By ~ 12

Author(s):

Yanzhao Cao ◽

◽

Li Yin ◽

Keyword(s):

Galerkin Method ◽

White Noise ◽

Wave Equations ◽

Space Time ◽

Stochastic Wave Equations ◽

Spectral Galerkin Method

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Central limit theorems for stochastic wave equations in dimensions one and two

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-021-00209-7 ◽

2021 ◽

Author(s):

David Nualart ◽

Guangqu Zheng

Keyword(s):

Central Limit ◽

Limit Theorems ◽

Wave Equations ◽

Central Limit Theorems ◽

Stochastic Wave Equations

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The stochastic wave equations driven by fractional and colored noises

Acta Mathematica Sinica English Series ◽

10.1007/s10114-010-8469-9 ◽

2010 ◽

Vol 26 (6) ◽

pp. 1055-1070 ◽

Cited By ~ 1

Author(s):

Dan Tang ◽

Yong Jin Wang

Keyword(s):

Wave Equations ◽

Stochastic Wave Equations

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Regularity of Solutions to Bilinear Stochastic Wave Equations

Stochastic Analysis and Applications ◽

10.1081/sap-200029500 ◽

2004 ◽

Vol 22 (6) ◽

pp. 1609-1631

Author(s):

Pao-Liu Chow

Keyword(s):

Wave Equations ◽

Regularity Of Solutions ◽

Stochastic Wave Equations

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Asymptotic behavior of stochastic wave equations with critical exponents on $\mathbb{R}^{3}$

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2011-05247-5 ◽

2011 ◽

Vol 363 (07) ◽

pp. 3639-3639 ◽

Cited By ~ 80

Author(s):

Bixiang Wang

Keyword(s):

Asymptotic Behavior ◽

Critical Exponents ◽

Wave Equations ◽

Stochastic Wave Equations

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Stochastic Wave Equations with Polynomial Nonlinearity

10.1214/aoap/1015961168 ◽

2002 ◽

Vol 12 (1) ◽

pp. 361-381 ◽

Cited By ~ 50

Author(s):

Pao-Liu Chow

Keyword(s):

Wave Equations ◽

Polynomial Nonlinearity ◽

Stochastic Wave Equations

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Uniform Exponential Dichotomy and Continuity of Attractors for Singularly Perturbed Damped Wave Equations

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-006-9023-4 ◽

2006 ◽

Vol 18 (3) ◽

pp. 767-814 ◽

Cited By ~ 20

Author(s):

S. M. Bruschi ◽

A. N. Carvalho ◽

J. W. Cholewa ◽

Tomasz Dlotko

Keyword(s):

Exponential Dichotomy ◽

Wave Equations ◽

Singularly Perturbed

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Full Discretization of Semilinear Stochastic Wave Equations Driven by Multiplicative Noise

SIAM Journal on Numerical Analysis ◽

10.1137/15m101049x ◽

2016 ◽

Vol 54 (2) ◽

pp. 1093-1119 ◽

Cited By ~ 19

Author(s):

Rikard Anton ◽

David Cohen ◽

Stig Larsson ◽

Xiaojie Wang

Keyword(s):

Wave Equations ◽

Multiplicative Noise ◽

Full Discretization ◽

Stochastic Wave Equations

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