In this paper, we established a quantitative unique continuation results for a coupled heat equations, with the homogeneous Dirichlet boundary condition, on a bounded convex domain Ω of ℝd with smooth boundary ∂Ω. Our result shows that the value of the solutions can be determined uniquely by its value on an arbitrary open subset ω of Ω at any given positive time T.
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机译:在本文中,我们建立了带有齐次Dirichlet边界条件的耦合热方程在具有光滑边界∂Ω的有界凸域Ω d sup>上的定量唯一连续结果。我们的结果表明,在任何给定的正时T,解的值可以唯一地由其在Ω的任意开放子集ω上的值确定。
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