TY - JOUR
T1 - The Cauchy Problem for Some Dispersive Wave Equations
JO - Journal of Partial Differential Equations
VL - 4
SP - 316
EP - 328
PY - 2004
DA - 2004/11
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5396.html
KW - Well-posedness
KW - Cauchy problem
KW - dispersive equation
KW - scattering
AB - <p>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&#39;s more, we improve the scattering result obtained in [1].</p>