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点量测热传导方程解的存在性

Existence of the Solution for the Heat-Conduction Equation With Point Observation
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摘要 本文运用有界线性算子的积分半群理论证明了点量测热传导方程在连续函数空间中解的存在唯一性 In this paper,it is proved,by mcans of the theouy of integrated semigroups,that the heat -condection equation with point observation has an unique Solution in the space of continu-ous functions.
出处 《信阳师范学院学报(自然科学版)》 CAS 1993年第4期374-377,共4页 Journal of Xinyang Normal University(Natural Science Edition)
关键词 点量测热 传导方程 积分半群 Heat-conduction equation with point observation Integrated semigroup
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参考文献2

  • 1Frank Neubrander. Integrated semigroups and their application to complete second order cauchy problems[J] 1989,Semigroup Forum(1):233~251
  • 2Wolfgang Arendt. Vector-valued laplace transforms and cauchy problems[J] 1987,Israel Journal of Mathematics(3):327~352

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