Optimal $$L^2$$-decay of solutions to a nonlinear Schrödinger equation with sub-critical dissipative nonlinearity
暂无分享,去创建一个
[1] Takuya Sato. Lower bound estimate for the dissipative nonlinear Schrödinger equation , 2021, Partial Differential Equations and Applications.
[2] T. Cazenave,et al. Asymptotic behavior for a dissipative nonlinear Schrödinger equation , 2020, 2007.13697.
[3] Takuya Sato. $$L^2$$-decay estimate for the dissipative nonlinear Schrödinger equation in the Gevrey class , 2020, Archiv der Mathematik.
[4] T. Ogawa,et al. $$\mathbf{L^2}$$-decay rate for the critical nonlinear Schrödinger equation with a small smooth data , 2020 .
[5] T. Cazenave,et al. Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation , 2019, Discrete & Continuous Dynamical Systems - A.
[6] G. Hoshino. Scattering for solutions of a dissipative nonlinear Schrödinger equation , 2019, Journal of Differential Equations.
[7] T. Cazenave,et al. Modified scattering for the critical nonlinear Schrödinger equation , 2017, 1702.08221.
[8] Guangzhi Jin,et al. The initial value problem for nonlinear Schrödinger equations with a dissipative nonlinearity in one space dimension , 2016 .
[9] T. Cazenave,et al. Local existence, global existence, and scattering for the nonlinear Schrödinger equation , 2016, 1603.03204.
[10] Chunhua Li,et al. Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields , 2016 .
[11] R. Carles,et al. On Nonlinear Schrödinger-Type Equations with Nonlinear Damping , 2013, International Mathematics Research Notices.
[12] Mohamad Darwich. Some remarks on the $L^{2}$-critical nonlinear Schr\"odinger Equation with a nonlinear damping , 2012, 1206.6082.
[13] Christof Sparber,et al. Global Well-Posedness for Cubic NLS with Nonlinear Damping , 2009, Communications in Partial Differential Equations.
[14] Akihiro Shimomura,et al. Asymptotic behavior of solutions to Schrödinger equations with a subcritical dissipative nonlinearity , 2007 .
[15] Akihiro Shimomura,et al. Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities , 2006 .
[16] M. Nakamura,et al. Small solutions to nonlinear Schrödinger equations in the Sobolev spaces , 1999 .
[17] N. Hayashi,et al. Large time behavior of solutions to the generalized derivative nonlinear Schrödinger equation , 1998 .
[18] T. Ozawa,et al. Nonlinear Schrdinger equations in the Sobolev space of critical order , 1998 .
[19] Nakao Hayashi,et al. Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations , 1998 .
[20] J. Ginibre,et al. Long range scattering for non-linear Schrödinger and Hartree equations in space dimensionn≥2 , 1993 .
[21] Tohru Ozawa,et al. Long range scattering for nonlinear Schrödinger equations in one space dimension , 1991 .
[22] Jacqueline E. Barab,et al. Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation , 1984 .
[23] T. Ogawa,et al. L 2 -decay rate for the critical nonlinear Schr¨odinger equation with a small smooth data , 2020 .
[24] Mohamad Darwich. On the L-critical nonlinear Schrödinger Equation with a nonlinear damping , 2018 .
[25] Akihiro Shimomura,et al. Large time behavior of solutions to Schrödinger equations with a dissipative nonlinearity for arbitrarily large initial data , 2009 .
[26] Jean Bourgain,et al. Construction of blowup solutions for the nonlinear Schr ? odinger equation with critical nonlineari , 1997 .
[27] H. Pecher. Solutions of semilinear Schrödinger equations in $H^s$ , 1997 .