Moshinsky's shutter problem: an initial-value problem for the Klein-Gordon equation

被引：0

作者：

Martin, P. A. ^{[1
]}

Kowalski, F. V. ^{[2
]}

机构：

[1] Colorado Sch Mines, Dept Appl Math & Stat, Golden, CO 80401 USA

[2] Colorado Sch Mines, Dept Phys, Golden, CO 80401 USA

来源：

APPLICABLE ANALYSIS | 2012年 / 91卷 / 02期

关键词：

Klein-Gordon equation; asymptotic analysis; method of stationary phase; non-uniqueness;

D O I：

10.1080/00036811.2011.628942

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Moshinsky's problem is formulated and solved as a convolution integral. The initial data are discontinuous, giving the possibility of non-uniqueness. Asymptotic properties of the solution are deduced, using variants of the method of stationary phase. Comparisons are made with solutions of analogous problems for the one-dimensional wave equation and the Schrodinger equation.

引用

页码：309 / 322

页数：14

共 50 条

[31] INITIAL-VALUE PROBLEM IN THE LARGE FOR VONKARMAN EQUATION
BEZHANISHVILI, DA
DIFFERENTIAL EQUATIONS, 1983, 19 (01) : 14 - 17
[32] THE CAUCHY-PROBLEM FOR THE NON-LINEAR KLEIN-GORDON EQUATION
GINIBRE, J
VELO, G
NEW METHODS AND RESULTS IN NON-LINEAR FIELD EQUATIONS, 1989, 347 : 79 - 90
[33] Asymptotics of the Solution of an Initial-Boundary Value Problem for the One-Dimensional Klein-Gordon Equation on the Half-Line
Smirnova, E. S.
MATHEMATICAL NOTES, 2023, 114 (3-4) : 608 - 618
[34] Numerical simulation for an initial-boundary value problem of time-fractional Klein-Gordon equations
Odibat, Zaid
APPLIED NUMERICAL MATHEMATICS, 2024, 206 : 1 - 11
[35] Wigner Function for Klein-Gordon Landau Problem
Rahman, Mavlan
Dulat, Sayipjamal
Li, Kang
COMMUNICATIONS IN THEORETICAL PHYSICS, 2010, 54 (05) : 809 - 812
[36] THE INVERSE PROBLEM FOR A GENERALIZED KLEIN-GORDON SYSTEM
LEON, JJ
LETTERE AL NUOVO CIMENTO, 1980, 29 (02): : 45 - 50
[37] The zero mass problem for Klein-Gordon equations
Dong, Shijie
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023, 25 (07)
[38] Wigner Function for Klein-Gordon Landau Problem
买吾兰江·热合曼
沙依甫加马力·达吾来提
李康
CommunicationsinTheoreticalPhysics, 2010, 54 (11) : 809 - 812
[39] ON INITIAL-VALUE PROBLEM OF TRANSPORT EQUATION FOR A MODERATOR SLAB
UKAI, S
JOURNAL OF NUCLEAR SCIENCE AND TECHNOLOGY-TOKYO, 1966, 3 (10): : 22 - &
[40] THE INITIAL-VALUE PROBLEM FOR THE ERMAKOV-PINNEY EQUATION
REID, JL
RAY, JR
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1984, 64 (08): : 365 - 366

← 1 2 3 4 5 →