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    National Tsing Hua University Institutional Repository > 理學院 > 數學系 > 博碩士論文  >  一個廣義Ornstein-Uhlenbeck的熱核

    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/86550

    Title: 一個廣義Ornstein-Uhlenbeck的熱核
    Authors: 黃昱睿
    Huang, Yu Rei
    Description: GH02101021506
    Date: 2014
    Keywords: 熱核
    Heat Kernel
    Abstract: 在這篇文章,我們使用漢米爾頓與拉格朗日形式來研究這個二
    維廣義Ornstein-Uhlenbeck 算子
    In this thesis, we use the Hamiltonian and Lagrangian formalism to study the two-dimensional generalized Ornstein-Uhlenbeck operator Given the boundary conditions, we find the solutions of the associated Hamiltonian system of this operator. Then we construct the action function by the Lagrangian function and use the van Vleck's formula to obtain the volume element of the heat kernel. Finally, we discuss the regular and singular regions of this operator.
    URI: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/86550
    Source: http://thesis.nthu.edu.tw/cgi-bin/gs/hugsweb.cgi?o=dnthucdr&i=sGH02101021506.id
    Appears in Collections:[數學系] 博碩士論文

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