On weak existence of solutions of degenerate McKean-Vlasov equations

被引：0
作者：
Veretennikov, Alexander [1 ]
机构：
[1] Kharkevich Inst, Inst Informat Transmiss Problems, MS Pinsker lab, 19 build1, Bolshoy Karetny per, Moscow 127051, Russia
来源：
STOCHASTICS AND DYNAMICS | 2024年 / 24卷 / 05期
关键词：
McKean-Vlasov equations; degenerate nonlinear diffusion; weak solutions; KELLER-SEGEL MODEL; STOCHASTIC INTERPRETATION; SDES;
D O I：
10.1142/S0219493724500321
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
A new weak existence result for degenerate multi-dimensional stochastic McKean-Vlasov equation is established under relaxed regularity conditions.
引用
收藏
页数：15
相关论文
共 50 条
  • [41] GLOBAL EXISTENCE OF WEAK SOLUTIONS TO THE COMPRESSIBLE PRIMITIVE EQUATIONS OF ATMOSPHERIC DYNAMICS WITH DEGENERATE VISCOSITIES
    Liu, Xin
    Titi, Edriss S.
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, 51 (03) : 1913 - 1964
  • [42] Double-loop importance sampling for McKean-Vlasov stochastic differential equation
    Ben Rached, Nadhir
    Haji-Ali, Abdul-Lateef
    Pillai, Shyam Mohan Subbiah
    Tempone, Raul
    STATISTICS AND COMPUTING, 2024, 34 (06)
  • [43] Existence of solutions for nonlinear elliptic degenerate equations
    Benkirane, A
    Bennouna, J
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (01) : 9 - 37
  • [44] Well-posedness and numerical schemes for one-dimensional McKean-Vlasov equations and interacting particle systems with discontinuous drift
    Leobacher, Gunther
    Reisinger, Christoph
    Stockinger, Wolfgang
    BIT NUMERICAL MATHEMATICS, 2022, 62 (04) : 1505 - 1549
  • [45] Exponential Contractivity and Propagation of Chaos for Langevin Dynamics of McKean-Vlasov Type with Levy Noises
    Liu, Yao
    Wang, Jian
    Zhang, Meng-ge
    POTENTIAL ANALYSIS, 2025, 62 (01) : 27 - 60
  • [46] Semi-analytical solution of a McKean-Vlasov equation with feedback through hitting a boundary
    Lipton, Alexander
    Kaushansky, Vadim
    Reisinger, Christoph
    EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2021, 32 (06) : 1035 - 1068
  • [47] Strong convergence of Euler-Maruyama schemes for McKean-Vlasov stochastic differential equations under local Lipschitz conditions of state variables
    Li, Yun
    Mao, Xuerong
    Song, Qingshuo
    Wu, Fuke
    Yin, George
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2023, 43 (02) : 1001 - 1035
  • [48] Smoothness of the gradient of weak solutions of degenerate linear equations
    Richard L. Wheeden
    Acta Mathematica Sinica, English Series, 2018, 34 : 42 - 62
  • [49] Existence of Infinite Energy Solutions of Degenerate Elliptic Equations
    Moscariello, Gioconda
    di Napoli, Antonia Passarelli
    Porzio, Maria Michaela
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2012, 31 (04): : 393 - 426
  • [50] Smoothness of the gradient of weak solutions of degenerate linear equations
    Wheeden, Richard L.
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2018, 34 (01) : 42 - 62
12345