Spatial Moduli of Non-Differentiability for Linearized Kuramoto–Sivashinsky SPDEs and Their Gradient
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We investigate spatial moduli of non-differentiability for the fourth-order linearized Kuramoto–Sivashinsky (L-KS) SPDEs and their gradient, driven by the space-time white noise in one-to-three dimensional spaces. We use the underlying explicit kernels and symmetry analysis, yielding spatial moduli of non-differentiability for L-KS SPDEs and their gradient. This work builds on the recent works on delicate analysis of regularities of general Gaussian processes and stochastic heat equation driven by space-time white noise. Moreover, it builds on and complements Allouba and Xiao’s earlier works on spatial uniform and local moduli of continuity of L-KS SPDEs and their gradient.
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2008 ◽
pp. 577-589
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2010 ◽
Vol 44
(2)
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pp. 289-322
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2016 ◽
Vol 17
(01)
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pp. 1750004
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2020 ◽
Vol 38
(4)
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pp. 747-768
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2010 ◽
Vol 15
(0)
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pp. 1267-1295
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2017 ◽
Vol 40
(2)
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pp. 565-582
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