HARDY INEQUALITIES FOR A MAGNETIC GRUSHIN OPERATOR WITH AHARONOV-BOHM TYPE MAGNETIC FIELD

被引:7
|
作者
Aermark, L. [1 ]
Laptev, A. [2 ]
机构
[1] Stockholm Univ, SE-10691 Stockholm, Sweden
[2] Univ London Imperial Coll Sci Technol & Med, London SW7 2AZ, England
关键词
Hardy inequalities; UNIQUE CONTINUATION;
D O I
10.1090/S1061-0022-2012-01193-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A version of the Aharonov-Bohm magnetic field for a Grushin subelliptic operator is introduced; then its quadratic form is shown to satisfy an improved Hardy inequality.
引用
收藏
页码:203 / 208
页数:6
相关论文
共 50 条
  • [21] Impact of Aharonov-Bohm solenoid on particle radiation in magnetic field
    Bagrov, VG
    Gitman, DM
    Levin, AD
    Tlyachev, VB
    MODERN PHYSICS LETTERS A, 2001, 16 (18) : 1171 - 1179
  • [22] Two-Slit and Aharonov-Bohm Experiments in Magnetic Field
    Pardy, Miroslav
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2008, 47 (12) : 3273 - 3281
  • [23] Aharonov-Bohm effect in a mesoscopic ring in a nonstationary magnetic field
    Entin, MV
    Mahmoodian, MM
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2000, 12 (30) : 6845 - 6850
  • [24] Description of the Magnetic Field and Divergence of Multisolenoid Aharonov-Bohm Potential
    Aliev, Araz R.
    Eyvazov, Elshad H.
    Ibrahim, Said F. M.
    Zedan, Hassan A.
    ADVANCES IN MATHEMATICAL PHYSICS, 2016, 2016
  • [25] Symmetry Results in Two-Dimensional Inequalities for Aharonov-Bohm Magnetic Fields
    Bonheure, Denis
    Dolbeault, Jean
    Esteban, Maria J.
    Laptev, Ari
    Loss, Michael
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 375 (03) : 2071 - 2087
  • [26] Combined electric and magnetic Aharonov-Bohm effects
    Marcovitch, Samuel
    Aharonov, Yakir
    Kaufferr, Tirza
    Reznik, Benni
    AMERICAN JOURNAL OF PHYSICS, 2007, 75 (12) : 1141 - 1146
  • [27] Aharonov-Bohm effect in varying magnetic fields
    Ageev, AN
    Davydov, SY
    PISMA V ZHURNAL TEKHNICHESKOI FIZIKI, 1995, 21 (23): : 71 - 73
  • [28] Magnetic and electric Aharonov-Bohm effects in nanostructures
    Kulik, IO
    PHYSICA B-CONDENSED MATTER, 1996, 218 (1-4) : 252 - 257
  • [29] Magnetic force exerted by the Aharonov-Bohm line
    Shelankov, AL
    EUROPHYSICS LETTERS, 1998, 43 (06): : 623 - 628
  • [30] The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field
    Stovicek, Pavel
    ANNALS OF PHYSICS, 2017, 376 : 254 - 282