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• W2023183104 abstract "We show how to apply ideas from the theory of rough paths to theanalysis of low-regularity solutions to non-linear dispersiveequations. Our basic example will be the one dimensionalKorteweg--de Vries (KdV) equation on a periodic domain and withinitial condition in $F L^{alpha,p}$ spaces. We discussconvergence of Galerkin approximations, a modified Euler scheme andthe presence of a random force of white-noise type in time." @default.
• W2023183104 created "2016-06-24" @default.
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• W2023183104 date "2012-01-01" @default.
• W2023183104 modified "2023-10-18" @default.
• W2023183104 title "Rough solutions for the periodic Korteweg--de~Vries equation" @default.
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• W2023183104 doi "https://doi.org/10.3934/cpaa.2012.11.709" @default.
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