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Wellposedness of Cauchy problem for the Fourth Order Nonlinear Schrodinger Equations in Multi-dimensional Spaces

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 Added by Chengchun Hao Dr.
 Publication date 2008
  fields
and research's language is English




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We study the wellposedness of Cauchy problem for the fourth order nonlinear Schrodinger equations ipartial_t u=-epsDelta u+Delta^2 u+P((partial_x^alpha u)_{abs{alpha}ls 2}, (partial_x^alpha bar{u})_{abs{alpha}ls 2}),quad tin Real, xinReal^n, where $epsin{-1,0,1}$, $ngs 2$ denotes the spatial dimension and $P(cdot)$ is a polynomial excluding constant and linear terms.



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