INTERACTION MORAWETZ ESTIMATE AND A SIMPLIFIED PROOF ON THE ENERGY SCATTERING FOR HARTREE EQUAITONS

被引:0
|
作者
Xu Guixiang [1 ]
Yuan Jia [2 ]
机构
[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
[2] Beihang Univ, Sch Math & Syst Sci, LIMB, Minist Educ, Beijing 100191, Peoples R China
关键词
Scattering theory; Hartree equation; wave operators; asymptotic completeness; NONLINEAR SCHRODINGER-EQUATION; KLEIN-GORDON; R-3;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we give a simple proof on the energy scattering for the Hartree equations using the interaction Morawetz estimate that was originally introduced in [5].
引用
收藏
页码:15 / 21
页数:7
相关论文
共 50 条
  • [21] Muon energy estimate through multiple scattering with the MACRO detector
    Ambrosio, M
    Antolini, R
    Auriemma, G
    Bakari, D
    Baldini, A
    Barbarino, GC
    Barish, BC
    Battistoni, G
    Becherini, Y
    Bellotti, R
    Bemporad, C
    Bernardini, P
    Bilokon, H
    Bloise, C
    Bower, C
    Brigida, M
    Bussino, S
    Cafagna, F
    Calicchio, M
    Campana, D
    Candela, A
    Carboni, M
    Caruso, R
    Cassese, F
    Cecchini, S
    Cei, F
    Chiarella, V
    Choudhary, BC
    Coutu, S
    Cozzi, M
    De Cataldo, G
    De Deo, M
    Dekhissi, H
    De Marzo, C
    De Mitri, I
    Derkaoui, J
    De Vincenzi, M
    Di Credico, A
    Dincecco, M
    Erriquez, O
    Favuzzi, C
    Forti, C
    Fusco, P
    Giacomelli, G
    Giannini, G
    Giglietto, N
    Giorgini, M
    Grassi, M
    Gray, L
    Grillo, A
    NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2002, 492 (03): : 376 - 386
  • [22] A simplified method to estimate energy savings of artificial lighting use from daylighting
    Krarti, M
    Erickson, PM
    Hillman, TC
    BUILDING AND ENVIRONMENT, 2005, 40 (06) : 747 - 754
  • [23] A Simplified Methodology to Estimate Energy Savings in Commercial Buildings from Improvements in Airtightness
    Bhandari, Mahabir
    Hun, Diana
    Shrestha, Som
    Pallin, Simon
    Lapsa, Melissa
    ENERGIES, 2018, 11 (12)
  • [24] Perturbative calculation of the Hartree-Fock interaction energy using orthogonalized orbitals
    Lukes, V
    Laurinc, V
    Biskupic, S
    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1999, 75 (02) : 81 - 88
  • [25] Uniform Energy Bound and Morawetz Estimate for Extreme Components of Spin Fields in the Exterior of a Slowly Rotating Kerr Black Hole II: Linearized Gravity
    Siyuan Ma
    Communications in Mathematical Physics, 2020, 377 : 2489 - 2551
  • [26] EXISTENCE PROOF FOR HARTREE-FOCK TIME-DEPENDENT PROBLEM WITH BOUNDED 2-BODY INTERACTION
    BOVE, A
    DAPRATO, G
    FANO, G
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 37 (03) : 183 - 191
  • [27] INTERACTION RANGE AND HIGH-ENERGY SCATTERING
    LEVY, M
    NUOVO CIMENTO, 1962, 24 (05): : 920 - +
  • [28] Uniform Energy Bound and Morawetz Estimate for Extreme Components of Spin Fields in the Exterior of a Slowly Rotating Kerr Black Hole I: Maxwell Field
    Siyuan Ma
    Annales Henri Poincaré, 2020, 21 : 815 - 863
  • [29] Uniform Energy Bound and Morawetz Estimate for Extreme Components of Spin Fields in the Exterior of a Slowly Rotating Kerr Black Hole I: Maxwell Field
    Ma, Siyuan
    ANNALES HENRI POINCARE, 2020, 21 (03): : 815 - 863
  • [30] Uniform Energy Bound and Morawetz Estimate for Extreme Components of Spin Fields in the Exterior of a Slowly Rotating Kerr Black Hole II: Linearized Gravity
    Ma, Siyuan
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 377 (03) : 2489 - 2551