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