Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610302 | Journal of Differential Equations | 2015 | 26 Pages |
Abstract
We consider the Cauchy problem for the fourth-order nonlinear Schrödinger equation in the super critical case i∂tu+14∂x4u=λ∂x(|u|ρ−1u), where ρ>4ρ>4, λ∈Cλ∈C. We prove the global existence and the large time asymptotics of solutions for small initial data u0∈H1∩H12,1, when the order of the nonlinearity ρ>4ρ>4.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nakao Hayashi, Pavel I. Naumkin,