On dispersive properties of discrete 2D Schrodinger and Klein-Gordon equations

被引：6

作者：

Komech, A. I. ^{[1
,2
]}

Kopylova, E. A. ^{[1
]}

Vainberg, B. R. ^{[3
]}

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 101447, Russia

[2] Univ Vienna, Fak Math, A-1090 Vienna, Austria

[3] UNCC, Dept Math & Stat, Charlotte, NC 28223 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2008年 / 254卷 / 08期

基金：

奥地利科学基金会; 俄罗斯基础研究基金会;

关键词：

discrete Schrodinger and Klein-Gordon equations; lattice; Cauchy problem; long-time asymptotics;

D O I：

10.1016/j.jfa.2008.01.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：2227 / 2254

页数：28

共 15 条

[1]

AGMON S., 1975, Ann. Sc. Norm. Super. Pisa, Cl. Sci., V2, P151

[2]

ESKINA MS, 1967, MATH PHYS, P248

[3] Large time behavior of solutions to difference wave operators [J].

Islami, H ;

Vainberg, B .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2006, 31 (03) :397-416

[4] SPECTRAL PROPERTIES OF SCHRODINGER-OPERATORS AND TIME-DECAY OF THE WAVE-FUNCTIONS RESULTS IN L2(RM), M GREATER-THAN-OR-EQUAL-TO 5 [J].

JENSEN, A .

DUKE MATHEMATICAL JOURNAL, 1980, 47 (01) :57-80

[5]

JENSEN A, 1984, J MATH ANAL APPL, V101, P397, DOI 10.1016/0022-247X(84)90110-0

[6] A unified approach to resolvent expansions at thresholds [J].

Jensen, A ;

Nenciu, G .

REVIEWS IN MATHEMATICAL PHYSICS, 2001, 13 (06) :717-754

[7] SPECTRAL PROPERTIES OF SCHRODINGER OPERATORS AND TIME-DECAY OF THE WAVE-FUNCTIONS [J].

JENSEN, A ;

KATO, T .

DUKE MATHEMATICAL JOURNAL, 1979, 46 (03) :583-611

[8]

KOMECH A, 2006, J APPL ANAL, V85, P1487

[9]

LAX PD, 1989, SCATTERING THEORY

[10] ASYMPTOTIC EXPANSIONS IN TIME FOR SOLUTIONS OF SCHRODINGER-TYPE EQUATIONS [J].

MURATA, M .

JOURNAL OF FUNCTIONAL ANALYSIS, 1982, 49 (01) :10-56

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