강연/세미나

콜로퀴움&세미나

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Probability Seminar
최고관리자 2025-01-23
  • 분야

    세미나

  • 날짜

    20250205 ~ 20250205

    시간

    16:00 ~ 17:00
  • 장소

    Math Bldg. #404

    초청자

  • 연사

    Kyoung-Youn Kim

    소속

    National Chung Hsing University

  • 제목

    Probability Seminar

  • 소개 및 안내사항

    Title: Stability of heat kernel estimates for non-local operators with diffusion under the Feynman-Kac perturbation


    Speaker: Kyoung-Youn Kim (National Chung Hsing University)

    Title: Stability of heat kernel estimates for non-local operators with diffusion under the Feynman-Kac perturbation

    Abstract: Let $X_t$ be a symmetric jump-type process with a diffusion and $\{P_t\}_{t\geq 0}$ be  its transition semigroup .
    The Feynman-Kac semigroup of $X$ is given by
    $$T_t f(x)={\bf E}_x[\exp(A_t) f(X_t)], \qquad t\ge 0, x\in M$$
    where $A_t$ is a non-local additive functional of $X_t$.
    We introduce a Kato condition to obtain the heat kernel estimates for the FK-semigroup and obtain the stability of heat kernels under the FK-perturbation.
    Also we discuss the parabolic Harnack principle of the FK-semigroup.
    This is joint work with Zhen-Qing Chen and Lidan Wang.

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