李邯武
研究员
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论文成果
Reflected solutions of backward stochastic differential equations driven by G-Brownian motion
  • 所属单位:
    山东大学
  • 发表刊物:
    SCIENCE CHINA-MATHEMATICS
  • 刊物所在地:
    China
  • 关键字:
    G-expectation, reflected backward stochastic differential equations, obstacle problems for fully nonlinear PDEs
  • 摘要:
    In this paper, we study the reflected solutions of one-dimensional backward stochastic differential equations driven by G-Brownian motion. The reflection keeps the solution above a given stochastic process. In order to derive the uniqueness of reflected G-BSDEs, we apply a "martingale condition" instead of the Skorohod condition. Similar to the classical case, we prove the existence by approximation via penalization. We then give some applications including a generalized Feynman-Kac formula of an obstacle problem for fully nonlinear partial differential equation and option pricing of American types under volatility uncertainty.
  • 全部作者:
    Abdoulaye Soumana Hima
  • 第一作者:
    Hanwu Li
  • 通讯作者:
    Shige Peng
  • 学科门类:
    mathematics
  • 卷号:
    61
  • 期号:
    1
  • 页面范围:
    1-26
  • ISSN号:
    1674-7283
  • 是否译文:
  • 发表时间:
    4310-01-01
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