Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise
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Date
2021-09
Publication Type
Journal Article
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Abstract
In this article we investigate the spatial Sobolev regularity of mild solutions to stochastic Burgers equations with additive trace class noise. Our findings are based on a combination of suitable bootstrap-type arguments and a detailed analysis of the nonlinearity in the equation.
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published
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Volume
210
Pages / Article No.
112310
Publisher
Elsevier
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Subject
Ordinary differential equation; Burgers equations; Hilbert space; infinite-dimensional analysis; Sobolev space; Regularity analysis
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Funding
156603 - Numerical approximations of nonlinear stochastic ordinary and partial differential equations (SNF)