• Title/Summary/Keyword: Cauchy Problem

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INTEGRAL KERNEL OPERATORS ON REGULAR GENERALIZED WHITE NOISE FUNCTIONS

  • Ji, Un-Cig
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.601-618
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    • 2000
  • Let (and $g^*$) be the space of regular test (and generalized, resp.) white noise functions. The integral kernel operators acting on and transformation groups of operators on are studied, and then every integral kernel operator acting on can be extended to continuous linear operator on $g^*$. The existence and uniqueness of solutions of Cauchy problems associated with certain integral kernel operators with intial data in $g^*$ are investigated.

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A Numerical Study on 2-Dimensuional Tank with Shallow Draft (천수에서 2차원 수치파 수조에 대한 계산)

  • 임춘규
    • Journal of Ocean Engineering and Technology
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    • v.14 no.1
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    • pp.1-5
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    • 2000
  • A numerical analysis for wave motion in the shallow water is presented. The method is based on potential theory. The fully nonlinear free surface boundary condition is assumed in an inner domain and this solution is matched along an assumed common boundary to a linear solution in outer domain. In two-dimensional problem Cauchy's integral theorem is applied to calculate the complex potential and its time derivative along boundary.

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