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 Volume 9, Number 3, 2019, Pages 1183-1192 The existence of global solutions for the fourth-order nonlinear Schrodinger equations Chunxiao Guo,Boling Guo Keywords:Fourth-order nonlinear Schrodinger equation, Galerkin method, initial boundary value problem. Abstract: In this paper, the problem of a class of multidimensional fourth-order nonlinear Schr\"{o}dinger equation including the derivatives of the unknown function in the nonlinear term is studied, and the existence of global weak solutions of nonlinear Schr\"{o}dinger equation is proved by the Galerkin method according to the different values of $\lambda$. PDF      Download reader