Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation

By B. Guo, Zhaohui Huo. 2010

156 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/502bbdc5381e8779197e23066422ba70fd0bb483

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. F. Pusateri
2. Dan Wu
3. A. Ionescu
4. Michael Taylor
5. Zihua Guo
6. Carlos E. Kenig
7. Luc Molinet
8. Vittoria Pierfelice

In Control and Systems Engineering

1. F. Pusateri
2. Dan Wu
3. A. Ionescu

In Mathematical Physics

1. A. Ionescu
2. F. Pusateri
3. Dan Wu
4. Michael Taylor
5. Zihua Guo
6. Carlos E. Kenig
7. Luc Molinet
8. Vittoria Pierfelice

Citations in the corpus

• Nonlinear fractional Schrödinger equations in one dimension (2012, methodology): “For the nonlinear cubic gauge invariant equation, with dispersion | ∂ x | α for 1 α 2 , global existence for L 2 data was obtained in [9], combining multilinear estimates based on Bourgain spaces with mass conservation.”
• Existence and stability of standing waves for nonlinear fractional Schr\"odinger equations with Hartree type nonlinearity (2012, background): “Recently, the fractional nonlinear Schrödinger equations with power type nonlinearity have been studied by [9][10][11].”