REMARKS ON THE DAMPED NONLINEAR SCHRODINGER EQUATION

被引：4

作者：

Saanouni, Tarek ^{[1
]}

机构：

[1] Qassim Univ, Coll Sci & Arts Uglat Asugour, Dept Math, Buraydah, Saudi Arabia

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2020年 / 9卷 / 03期

关键词：

Nonlinear Schrodinger equation; damping; global existence; scattering; GLOBAL-SOLUTIONS; WELL-POSEDNESS; CAUCHY-PROBLEM; DISSIPATION; DECAY;

D O I：

10.3934/eect.2020030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is the purpose of this note to investigate the initial value problem for a focusing semi-linear damped Schrodinger equation. Indeed, in the energy sub-critical regime, one obtains global well-posedness and scattering in the energy space, depending on the order of the fractional dissipation.

引用

页码：721 / 732

页数：12

共 50 条

[1] REMARKS ON DAMPED SCHRODINGER EQUATION OF CHOQUARD TYPE
Chergui, Lassaad
[J]. OPUSCULA MATHEMATICA, 2021, 41 (04) : 465 - 488
[2] SOLITON IN DAMPED NONLINEAR SCHRODINGER EQUATION
PEREIRA, NR
[J]. PHYSICS OF FLUIDS, 1977, 20 (10) : 1735 - 1743
[3] ASYMPTOTIC BEHAVIOR OF THE NONLINEAR DAMPED SCHRODINGER EQUATION
Inui, Takahisa
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (02) : 763 - 773
[4] Damped Nonlinear Schrodinger Equation with Stark Effect
Hu, Yi
Lee, Yongki
Zheng, Shijun
[J]. NONLINEAR AND MODERN MATHEMATICAL PHYSICS, NMMP 2022, 2024, 459 : 189 - 205
[5] Remarks on damped fractional Schrodinger equation with pure power nonlinearity
Saanouni, Tarek
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (06)
[6] Remarks on global existence and blowup for damped nonlinear Schrodinger equations
Ohta, Masahito
Todorova, Grozdena
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 23 (04) : 1313 - 1325
[7] NONLINEAR DAMPED SCHRODINGER EQUATION IN TWO SPACE DIMENSIONS
Saanouni, Tarek
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[8] OSCILLATING SOLITONS OF THE DRIVEN, DAMPED NONLINEAR SCHRODINGER EQUATION
Zemlyanaya, E. V.
Alexeeva, N. V.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 159 (03) : 870 - 876
[9] Remarks on nonlinear Schrodinger equation with harmonic potential
Xu, Runzhang
Liu, Yacheng
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (04)
[10] Breathers in a damped-driven nonlinear Schrodinger equation
Alexeeva, N. V.
Zemlyanaya, E. V.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2011, 168 (01) : 858 - 864

← 1 2 3 4 5 →