Analyticity of the Cox-Ingersoll-Ross semigroup

被引:2
|
作者
Fornaro, S. [1 ]
Metafune, G. [2 ]
机构
[1] Univ Pavia, Dipartimento Matemat Felice Casorati, I-27100 Pavia, Italy
[2] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, CP 193, I-73100 Lecce, Italy
关键词
Analytic semigroup; Perturbed generator; Contractive and positive semigroup; REGULARITY; OPERATORS;
D O I
10.1007/s11117-019-00716-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the analyticity of the Cox-Ingersoll-Ross semigroup generated by A(r)u = nu(2)xu" + gamma u' + beta xu' - rxu, in spaces of continuous functions on [0,+infinity) and we provide the full description of the domain of the generator.
引用
收藏
页码:915 / 931
页数:17
相关论文
共 50 条
  • [31] A NONAUTONOMOUS COX-INGERSOLL-ROSS EQUATION WITH GROWING INITIAL CONDITIONS
    Goldstein, Gisele Ruiz
    Goldstein, Jerome A.
    Mininni, Rosa Maria
    Romanelli, Silvia
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2022, 15 (12): : 3689 - 3698
  • [32] α-平稳Cox-Ingersoll-Ross模型的参数估计
    魏超
    何朝兵
    [J]. 山西大学学报(自然科学版), 2021, 44 (03) : 483 - 490
  • [33] Fractional Cox-Ingersoll-Ross process with non-zero << mean >>
    Mishura, Yuliya
    Yurchenko-Tytarenko, Anton
    [J]. MODERN STOCHASTICS-THEORY AND APPLICATIONS, 2018, 5 (01): : 99 - 111
  • [34] Local asymptotic properties for Cox-Ingersoll-Ross process with discrete observations
    Ben Alaya, Mohamed
    Kebaier, Ahmed
    Tran, Ngoc Khue
    [J]. SCANDINAVIAN JOURNAL OF STATISTICS, 2020, 47 (04) : 1401 - 1464
  • [35] PRICING OF LIBOR FUTURES BY MARTINGALE METHOD IN COX-INGERSOLL-ROSS MODEL
    Ping LI BeiHang University
    [J]. Journal of Systems Science & Complexity, 2010, 23 (02) : 261 - 269
  • [36] Pricing of LIBOR futures by martingale method in Cox-Ingersoll-Ross model
    Li, Ping
    Shi, Peng
    Huang, Guangdong
    Shi, Xiaojun
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 23 (02) : 261 - 269
  • [37] Pricing of LIBOR futures by martingale method in Cox-Ingersoll-Ross model
    Ping Li
    Peng Shi
    Guangdong Huang
    Xiaojun Shi
    [J]. Journal of Systems Science and Complexity, 2010, 23 : 261 - 269
  • [38] Harnack and super poincare inequalities for generalized Cox-Ingersoll-Ross model
    Huang, Xing
    Zhao, Fei
    [J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2020, 38 (04) : 730 - 746
  • [39] THE RUNNING MAXIMUM OF THE COX-INGERSOLL-ROSS PROCESS WITH SOME PROPERTIES OF THE KUMMER FUNCTION
    Gerhold, Stefan
    Hubalek, Friedrich
    Paris, Richard B.
    [J]. JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2022, 13 (02): : 1 - 18
  • [40] Evaluating the noncentral chi-square distribution for the cox-ingersoll-ross process
    Dyrting S.
    [J]. Computational Economics, 2004, 24 (1) : 35 - 50