The Cauchy Problem for Some Dispersive Wave Equations

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Abstract

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In this paper, we consider the Cauchy problem for some dispersive equations. By means of nonlinear estimate in Besov spaces and fixed point theory, we prove the global well-posedness of the above problem. What's more, we improve the scattering result obtained in [1].<\/p>"

Keywords:

Well-posedness;Cauchy problem;dispersive equation;scattering
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The Cauchy Problem for Some Dispersive Wave Equations. (2020). Journal of Partial Differential Equations, 17(4), 316-328. https://global-sci.com/index.php/jpde/article/view/14898