熱方程式の解の最大点挙動について  [in Japanese] Movement of Hot Spots for the Heat Equation  [in Japanese]

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Abstract

We consider the heat equation in the N-dimensional Euclidean space R^N the half space of R^N or the exterior domain of a ball, and study the large time behavior of hot spots of the solutions. The large time behavior of hot spots depends on the shape of domains and the boundary conditions. Furthermore we study the large time behavior of hot spots of the solutions of the heat equation with a potential. Then we see that the behavior of hot spots depends on the behavior of positive stationary solutions at the spacial infinity.

Journal

  • Bulletin of the Japan Society for Industrial and Applied Mathematics

    Bulletin of the Japan Society for Industrial and Applied Mathematics 20(1), 25-36, 2010

    The Japan Society for Industrial and Applied Mathematics

References:  17

Codes

  • NII Article ID (NAID)
    110007580761
  • NII NACSIS-CAT ID (NCID)
    AN10288886
  • Text Lang
    JPN
  • Article Type
    ART
  • ISSN
    09172270
  • NDL Article ID
    10645577
  • NDL Source Classification
    ZM31(科学技術--数学)
  • NDL Call No.
    Z15-726
  • Data Source
    CJP  NDL  NII-ELS  J-STAGE 
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