TIME-DEPENDENT NON-LINEAR SCHRODINGER EQUATIONS

被引：34

作者：

PECHER, H ^{[1
]}

WAHL, WV ^{[1
]}

机构：

[1] UNIV BAYREUTH,FACHBEREICH MATH & PHYS,D-8580 BAYREUTH,FED REP GER

来源：

MANUSCRIPTA MATHEMATICA | 1979年 / 27卷 / 02期

关键词：

D O I：

10.1007/BF01299292

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence of global classical solutions of the Cauchy-problem for nonlinear Schrödinger equations u′+iAu+f(|u|2)u or u′+Au+if(|u|2)u respectively. We need various growth conditions on the nonlinearity f and some restrictions on the admissible space dimension n. © 1979 Springer-Verlag.

引用

页码：125 / 157

页数：33

共 6 条

[1] ON THE SPECTRAL THEORY OF ELLIPTIC DIFFERENTIAL OPERATORS .1. [J].

BROWDER, FE .

MATHEMATISCHE ANNALEN, 1961, 142 (01) :22-130

[2]

Friedman A., 1969, PARTIAL DIFFERENTIAL

[3]

Lions J.-L., 1969, QUELQUES METHODES RE

[4] LP-ESTIMATIONS AND CLASSICAL SOLUTIONS FOR NONLINEAR-WAVE EQUATIONS .1. [J].

PECHER, H .

MATHEMATISCHE ZEITSCHRIFT, 1976, 150 (02) :159-183

[5]

PECHER H, 1975, NACH AKAD WISS GO MP, V2, P221

[6] NONLINEAR-WAVE EQUATIONS WITH TIME-DEPENDENT ELLIPTICAL MAIN PART [J].

WAHL, WV .

MATHEMATISCHE ZEITSCHRIFT, 1975, 142 (02) :105-120

← 1 →