The global solution of anisotropic fourth-order Schrödinger equation

Abstract This paper studies the global existence of solutions in Sobolev space for anisotropic fourth-order Schrödinger type equation: iut+Δu+a∑i=1duxixixixi+b|u|αu=0 $iu_{t}+\Delta u+a\sum_{i=1}^{d}u_{x_{i} x_{i} x_{i} x_{i}}+b|u|^{ \alpha }u=0$, x∈Rn $x\in R^{n}$, t∈R $t\in R$, 1≤d<n $1\leq d&l...

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Bibliographic Details
Main Authors: Hailing Su, Cuihua Guo
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2118-0