Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622887 | Journal of Mathematical Analysis and Applications | 2007 | 26 Pages |
Abstract
We study the well-posedness of Cauchy problem for the fourth order nonlinear Schrödinger equationsi∂tu=−εΔu+Δ2u+P((∂xαu)|α|⩽2,(∂xαu¯)|α|⩽2),t∈R,x∈Rn, where ε∈{−1,0,1}ε∈{−1,0,1}, n⩾2n⩾2 denotes the spatial dimension and P(⋅)P(⋅) is a polynomial excluding constant and linear terms.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chengchun Hao, Ling Hsiao, Baoxiang Wang,