The best estimation corresponding to continuous model of Thomson cable

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概要

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• We treat a continuous model of Thomson cable. The supremum of the absolute value of output voltage is estimated by the constant multiple of $L^2$ norm of input voltage. We obtain the best constants of the above estimations, which are expressed as rational functions of resistance, capacitance and conductance constants. In the background, we have an initial boundary value problem of heat equation.

著者

• Yamagishi Hiroyuki

  Tokyo Metropolitan College Of Industrial Technology

• Kametaka Yoshinori

  Osaka City University

• Nagai Atsushi

  Nihon University

• Watanabe Kohtaro

  National Defense Academy

• Takemura Kazuo

  Nihon University

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• The best estimation corresponding to continuous model of Thomson cable
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