Modified scattering for the fractional nonlinear Schrödinger equation with α∈(32,2)
Journal d'Analyse Mathematique, ISSN: 1565-8538, Vol: 150, Issue: 2, Page: 609-644
2023
- 1Citations
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Article Description
We study the Cauchy problem for the fractional nonlinear Schrödinger equation {i∂tu+1α|∂x|αu=λ∣u∣2u,t>0,x∈ℝ,u(0,x)=u0(x),x∈ℝ, where λ ∈ ℝ, the fractional derivative ∣ ∂ ∣ = ℱ∣ ξ∣ ℱ , the order α∈(32,2) . Our aim is to prove the modified scattering for solutions of the fractional nonlinear Schrödinger equation. We develop the factorization techniques which we proposed in our previous works.
Bibliographic Details
Springer Science and Business Media LLC
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