The characteristic spectrum of the reduced wave equation with periodic coefficients in the three-dimensional space

被引：0
|
作者：
Derguzov V.I.
Denisova I.V.
机构：
来源：
Journal of Mathematical Sciences | 2001年 / 105卷 / 5期
关键词：
Wave Equation; Characteristic Spectrum; Periodic Coefficient; Periodic Waveguide; Reduce Wave Equation;
D O I：
10.1023/A:1011365213207
中图分类号：
学科分类号：
摘要：
A three-dimensional periodic waveguide is considered under the conditions that the oscillations of the waveguide are described by the reduced wave equation. The characteristic spectrum of the waveguide is studied. ©2001 Plenum Publishing Corporation.
引用
收藏
页码：2377 / 2397
页数：20
相关论文
共 50 条
  • [21] Properties of the density for a three-dimensional stochastic wave equation
    Sanz-Sole, Marta
    JOURNAL OF FUNCTIONAL ANALYSIS, 2008, 255 (01) : 255 - 281
  • [22] Normalization of eigenfunctions of the continuous spectrum of a three-dimensional periodic lightguide
    Derguzov V.I.
    Journal of Mathematical Sciences, 1998, 92 (6) : 4273 - 4285
  • [23] On absolute continuity of the spectrum of three-dimensional periodic Dirac operator
    Danilov, L., I
    IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2006, (01): : 49 - 76
  • [24] Elastic wave propagation in a three-dimensional periodic granular medium
    Anfosso, J
    Gibiat, V
    EUROPHYSICS LETTERS, 2004, 67 (03): : 376 - 382
  • [25] Wave band gaps in three-dimensional periodic piezoelectric structures
    Wang, Yi-Ze
    Li, Feng-Ming
    Kishimoto, Kikuo
    Wang, Yue-Sheng
    Huang, Wen-Hu
    MECHANICS RESEARCH COMMUNICATIONS, 2009, 36 (04) : 461 - 468
  • [26] Fine structure of beams of a three-dimensional periodic internal wave
    Chashechkin, YD
    Vasil'ev, AY
    Bardakov, RN
    DOKLADY EARTH SCIENCES, 2004, 397A (06) : 816 - 819
  • [27] Homogenization and correctors for the wave equation with periodic coefficients
    Casado-Diaz, Juan
    Couce-Calvo, Julio
    Maestre, Faustino
    Martin Gomez, Jose D.
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2014, 24 (07): : 1343 - 1388
  • [28] On the method of solution of the wave equation with periodic coefficients
    Gevorkyan, EA
    MATHEMATICAL METHODS IN ELECTROMAGNETIC THEORY, CONFERENCE PROCEEDINGS, VOLS 1 AND 2, 2002, : 373 - 375
  • [29] ON THE THREE-DIMENSIONAL PAULI EQUATION IN NONCOMMUTATIVE PHASE-SPACE
    Haouam, Ilyas
    ACTA POLYTECHNICA, 2021, 61 (01) : 230 - 241
  • [30] Absorbing boundary conditions for the three-dimensional vector wave equation
    Ramahi, OM
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1999, 47 (11) : 1735 - 1736
12345