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
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.
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页码:87 / 92
页数:6
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