On the Trotter-Kato theorem in a variable space

被引:12
|
作者
Zhikov, V. V. [1 ]
Pastukhova, S. E. [2 ]
机构
[1] Vladimir State Pedagog Univ, Vladimir, Russia
[2] Moscow Inst Radio Elect & Automat, Moscow, Russia
关键词
convergence in a variable space; two-scale convergence; resolvent convergence; Trotter-Kato theorem;
D O I
10.1007/s10688-007-0024-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the proof of a Trotter-Kato type theorem in a variable Banach space is given and some special cases and examples are considered.
引用
收藏
页码:264 / 270
页数:7
相关论文
共 50 条
  • [1] On the Trotter-Kato theorem in a variable space
    V. V. Zhikov
    S. E. Pastukhova
    Functional Analysis and Its Applications, 2007, 41 : 264 - 270
  • [2] TROTTER-KATO THEOREM IN THE WEAK TOPOLOGY
    Lee, Young Seop
    KOREAN JOURNAL OF MATHEMATICS, 2013, 21 (03): : 325 - 330
  • [3] On limitations and insufficiency of the Trotter-Kato theorem
    Bobrowski, Adam
    SEMIGROUP FORUM, 2007, 75 (02) : 317 - 336
  • [4] On Limitations and Insufficiency of the Trotter-Kato Theorem
    Adam Bobrowski
    Semigroup Forum, 2007, 75 : 317 - 336
  • [5] The Trotter-Kato theorem and approximation of PDEs
    Ito, K
    Kappel, F
    MATHEMATICS OF COMPUTATION, 1998, 67 (221) : 21 - 44
  • [6] Some aspects of the Trotter-Kato theorem
    Hussein, A.E.A.
    Ito, K.
    Kappel, F.
    Journal of Inverse and Ill-Posed Problems, 2001, 9 (03): : 231 - 247
  • [7] ON THE WEAK ANALOGUE OF THE TROTTER-KATO THEOREM
    Eisner, Tanja
    Sereny, Andras
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (04): : 1411 - 1416
  • [8] A Trotter-Kato theorem for quantum Markov limits
    Bouten, Luc
    Gohm, Rolf
    Gough, John
    Nurdin, Hendra
    EPJ QUANTUM TECHNOLOGY, 2015, 2
  • [9] A Trotter-Kato theorem for quantum Markov limits
    Luc Bouten
    Rolf Gohm
    John Gough
    Hendra Nurdin
    EPJ Quantum Technology, 2
  • [10] Stabilizations of the Trotter-Kato theorem and the Chernoff product formula
    Sarah McAllister
    Frank Neubrander
    Armin Reiser
    Yu Zhuang
    Semigroup Forum, 2013, 86 : 511 - 524