Well-posedness of Cauchy problem of fourth-order Schrödinger equations in anisotropic Sobolev space

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摘要

We study the existence of solutions for the Cauchy problem of the non-isotropically perturbed nonlinear Schrödinger equation iut+Δu+a∑i=1duxixixixi+|u|αu=0, where a is a real number, a≠0, α is a positive constant, 1⩽d

论文关键词:Non-isotropic Schrödinger equation,Cauchy problem,Solution,Existence

论文评审过程:Available online 7 February 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.01.072