Dispersion estimates for fourth order Schrodinger equations

被引：161
|
作者：
Ben-Artzi, M [1 ]
Koch, H
Saut, JC
机构：
[1] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
[2] Univ Heidelberg, Inst Angew Math, D-6900 Heidelberg, Germany
[3] Univ Paris Sud, F-91405 Orsay, France
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 330卷 / 02期
关键词：
D O I：
10.1016/S0764-4442(00)00120-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Motivated by the study of the fourth-order nonlinear Schrodinger equations introduced by V. Karpman [4], we give dispersion estimates for the linear group associated to i partial derivative(t) + Delta(2) +/- Delta. (C) 2000 Academie des science/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码：87 / 92
页数：6
相关论文
共 50 条
  • [41] Time integrable weighted dispersive estimates for the fourth order Schrodinger equation in three dimensions
    Goldberg, Michael
    Green, William R.
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2022, 54 (02) : 428 - 448
  • [42] On the fourth order Schrodinger equation in three dimensions: Dispersive estimates and zero energy resonances
    Erdogan, M. Burak
    Green, William R.
    Toprak, Ebru
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 271 : 152 - 185
  • [43] AN INVERSE BOUNDARY PROBLEM FOR FOURTH-ORDER SCHRODINGER EQUATIONS WITH PARTIAL DATA
    Duan, Zhiwen
    Han, Shuxia
    [J]. MATHEMATICA SLOVACA, 2019, 69 (01) : 125 - 138
  • [44] Dynamics of radial solutions for the focusing fourth-order nonlinear Schrodinger equations
    Dinh, Van Duong
    [J]. NONLINEARITY, 2021, 34 (02) : 776 - 821
  • [45] A fourth order real-space algorithm for solving local Schrodinger equations
    Krotscheck, E
    Auer, J
    Chin, SA
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2003, 17 (28): : 5459 - 5463
  • [46] Global well-posedness for nonlinear fourth-order Schrodinger equations
    Peng, Xiuyan
    Niu, Yi
    Liu, Jie
    Zhang, Mingyou
    Shen, Jihong
    [J]. BOUNDARY VALUE PROBLEMS, 2016, : 1 - 8
  • [47] On the fourth order Schrodinger equation in four dimensions: Dispersive estimates and zero energy resonances
    Green, William R.
    Toprak, Ebru
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (03) : 1899 - 1954
  • [48] Normalized solutions for a fourth-order Schrodinger equation with a positive second-order dispersion coefficient
    Luo, Xiao
    Yang, Tao
    [J]. SCIENCE CHINA-MATHEMATICS, 2023, 66 (06) : 1237 - 1262
  • [49] Fourth Order Schrodinger Equation with Mixed Dispersion on Certain Cartan-Hadamard Manifolds
    Casteras, Jean-Baptiste
    Holopainen, Ilkka
    [J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2024, 36 (03) : 2057 - 2092
  • [50] On Schrodinger equations with modified dispersion
    Carles, Remi
    [J]. DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2011, 8 (03) : 173 - 183
12345