On low regularity for initial value problem of OST equation
Author(s): JIA Hongyan, WANG Hongwei
Pages: 10-14
Year: 2016 Issue: 6
Journal: Journal of Anhui University(Natural Sciences)
Keyword: OST equation; initial value problem; low regularity;
Abstract: The OST equation was a KdV equation with perturbation term.This paper studied the initial value problem of OST equation with nonlinear term(ux)2, by constructing a new auxiliary space with weight in time variable, the prior estimate was obtained in this space.And the local well-posedness of OST equation was proved in low regularity Sobolev space Hs(s>-1/2).
Pages: 10-14
Year: 2016 Issue: 6
Journal: Journal of Anhui University(Natural Sciences)
Keyword: OST equation; initial value problem; low regularity;
Abstract: The OST equation was a KdV equation with perturbation term.This paper studied the initial value problem of OST equation with nonlinear term(ux)2, by constructing a new auxiliary space with weight in time variable, the prior estimate was obtained in this space.And the local well-posedness of OST equation was proved in low regularity Sobolev space Hs(s>-1/2).
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