Well-posedness of the mixed-fractional nonlinear Schrödinger equation on R2
We investigate the well-posedness theory of the 2-D fractional nonlinear Schrödinger equation (NLSE) with a mixed degree of derivatives. Motivated by models in optics and photonics where the light propagation is governed by non-quadratic, fractional, and anisotropic dispersion profile, this paper pr...
Main Authors: | Brian Choi, Alejandro Aceves |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2022-12-01
|
Series: | Partial Differential Equations in Applied Mathematics |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818122000754 |
Similar Items
-
Global well-posedness for Schrodinger equations with derivative in a nonlinear term and data in low-order Sobolev spaces
by: Hideo Takaoka
Published: (2001-06-01) -
Global well-posedness and scattering for the focusing nonlinear Schrödinger equation in the nonradial case
by: Pigong Han
Published: (2012-01-01) -
Well-posedness for the Chern-Simons-Schrödinger equations
by: Jishan Fan, et al.
Published: (2022-07-01) -
Global well-posedness for the radial defocusing cubic wave equation on $R^3$ and for rough data
by: Tristan Roy
Published: (2007-11-01) -
On the Global Well-Posedness and Orbital Stability of Standing Waves for the Schrödinger Equation with Fractional Dissipation
by: Jingqun Wang, et al.
Published: (2023-07-01)