Global Cauchy problems for the nonlocal (derivative) NLS in E σ s
暂无分享,去创建一个
[1] Baoxiang Wang,et al. Complex valued semi-linear heat equations in super-critical spaces $$E^s_\sigma $$ , 2022, Mathematische Annalen.
[2] M. Russo. Local and nonlocal solitons in a coupled real system of Landau–Lifshitz equations , 2021 .
[3] D. Shepelsky,et al. Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data , 2021, Journal of Differential Equations.
[4] H. Feichtinger,et al. Navier-Stokes equation in super-critical spacesEp,qs , 2020 .
[5] D. Shepelsky,et al. Long-Time Asymptotics for the Integrable Nonlocal Focusing Nonlinear Schrödinger Equation for a Family of Step-Like Initial Data , 2019, Communications in Mathematical Physics.
[6] Shoufeng Shen,et al. Solutions and connections of nonlocal derivative nonlinear Schrödinger equations , 2018, Nonlinear Dynamics.
[7] Mark J. Ablowitz,et al. General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions , 2017, Nonlinearity.
[8] D. Shepelsky,et al. Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation , 2017, Journal of Mathematical Physics.
[9] Asli Pekcan,et al. Nonlocal Nonlinear Schr\"odinger Equations and Their Soliton Solutions , 2017, 1707.07610.
[10] Zi-Xiang Zhou,et al. Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation , 2016, Commun. Nonlinear Sci. Numer. Simul..
[11] Franccois Genoud. Instability of an integrable nonlocal NLS , 2016, 1612.03139.
[12] T. Gadzhimuradov,et al. Towards a gauge-equivalent magnetic structure of the nonlocal nonlinear Schrödinger equation , 2016 .
[13] Tadahiro Oh. A remark on norm inflation with general initial data for the cubic nonlinear Schr\"odinger equations in negative Sobolev spaces , 2015, 1509.08143.
[14] V. Gerdjikov,et al. Complete integrability of Nonlocal Nonlinear Schr\"odinger equation , 2015, 1510.00480.
[15] Shaoming Guo. On the 1D Cubic Nonlinear Schrödinger Equation in an Almost Critical Space , 2014, 1411.0503.
[16] M. Ablowitz,et al. Integrable nonlocal nonlinear Schrödinger equation. , 2013, Physical review letters.
[17] Dong Li. Global well-posedness of hedgehog solutions for the (3+1) Skyrme model , 2012, Duke Mathematical Journal.
[18] Herbert Koch,et al. Well-posedness and scattering for the KP-II equation in a critical space , 2007, 0708.2011.
[19] Gino Biondini,et al. Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions , 2007 .
[20] D. Tataru,et al. Dispersive estimates for principally normal pseudodifferential operators , 2004, math/0401234.
[21] Nakao Hayashi,et al. Finite energy solutions of nonlinear Schrdinger equations of derivative type , 1994 .
[22] Y. Tsutsumi. L$^2$-Solutions for Nonlinear Schrodinger Equations and Nonlinear Groups , 1985 .
[23] Baoxiang Wang,et al. Local well-posedness for the derivative nonlinear Schrödinger equation with $ L^2 $-subcritical data , 2021, Discrete & Continuous Dynamical Systems.