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Controllability of the Heat Equation with a Control Acting on a Measurable Set Controllability of the Heat Equation with a Control Acting on a Measurable Set

Controllability of the Heat Equation with a Control Acting on a Measurable Set

  • 期刊名字:數(shù)學(xué)年刊B輯(英文版)
  • 文件大?。?/li>
  • 論文作者:Hang YU
  • 作者單位:School of Mathematical Sciences
  • 更新時間:2023-02-07
  • 下載次數(shù):
論文簡介

The paper deals with the controllability of a heat equation.It is well-known that the heat equation yt - △y =uxE in (0,T) × Ω with homogeneous Dirichlet boundary conditions is null controllable for any T > 0 and any open nonempty subset E of Ω.In this note,the author studies the case that E is an arbitrary measurable set with positive measure.

論文截圖
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