ON SCATTERING BY TIME-DEPENDENT POTENTIALS - THE 2-D CASE

被引:0
|
作者
FERREIRA, JA
MENZALA, GP
机构
[1] CTR NATL PESQUISA,BR-22290 RIO DE JANEIRO,BRAZIL
[2] UNIV FED RIO DE JANEIRO,IM,BR-21910 RIO DE JANEIRO,BRAZIL
关键词
D O I
10.1016/0022-247X(90)90033-C
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a real potential q(x, t) which has compact support in space x ∈ R2 and it is "damped." We study the solutions of utt - Δu + q(x, t) u = 0 showing that under additional technical assumptions on q the scattering operator exists. Our proofs are elementary. © 1990.
引用
收藏
页码:131 / 146
页数:16
相关论文
共 50 条
  • [1] Time-dependent plasma properties studied with a 2-D Thomson scattering system
    van der Mullen, J
    van de Sande, M
    Jonkers, J
    Sola, A
    Gamero, A
    Rodero, A
    HIGH TEMPERATURE MATERIAL PROCESSES, 2002, 6 (04): : 491 - 504
  • [2] Wave scattering by time-dependent potentials
    Roach, GF
    CHAOS SOLITONS & FRACTALS, 2001, 12 (14-15) : 2833 - 2847
  • [3] TIME-DEPENDENT SCATTERING THEORY FOR SINGULAR POTENTIALS
    HUNZIKER, W
    HELVETICA PHYSICA ACTA, 1967, 40 (08): : 1052 - &
  • [4] ON THE SCATTERING FREQUENCIES OF TIME-DEPENDENT POTENTIALS.
    Univ of Maryland, College Park, MD,, USA, Univ of Maryland, College Park, MD, USA
    Mathematical Methods in the Applied Sciences, 1986, 8 (04) : 576 - 584
  • [5] Study of a 2-D Time-Dependent Capillary Discharge Model
    Hang, Yuhua
    Li, Xingwen
    Wu, Jian
    Zhao, Weiyu
    Li, Rui
    Jia, Shenli
    IEEE TRANSACTIONS ON PLASMA SCIENCE, 2016, 44 (04) : 715 - 721
  • [6] TIME-DEPENDENT SCATTERING THEORY FOR HIGHLY SINGULAR POTENTIALS
    PEARSON, DB
    HELVETICA PHYSICA ACTA, 1974, 47 (03): : 249 - 264
  • [7] 2-D time-dependent viscoelastic flow calculations using CONNFFESSIT
    Laso, M
    Picasso, M
    Ottinger, HC
    AICHE JOURNAL, 1997, 43 (04) : 877 - 892
  • [8] THE SCATTERING OPERATOR FOR THE WAVE-EQUATION WITH TIME-DEPENDENT POTENTIALS
    MENZALA, GP
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1985, 300 (18): : 621 - 624
  • [9] SCATTERING PROPERTIES OF WAVE-EQUATIONS WITH TIME-DEPENDENT POTENTIALS
    MENZALA, GP
    COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART A, 1986, 12 (4-5): : 457 - 475
  • [10] Negative imaginary potentials in time-dependent quantum molecular scattering
    Mahapatra, S
    Sathyamurthy, N
    JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS, 1997, 93 (05): : 773 - 779