We study a shadow limit (the infinite diffusion coefficient-limit) of a system of ODEs coupled with a diagonal system of semilinear heat equations in a bounded domain with homogeneous Neumann boundary conditions. The recent convergence proof by the energy approach from [19], developed for the case of a single PDE, is revisited and generalized to the case of the coupled system. Furthermore, we give a new convergence proof relying on the introduction of a well-prepared related cutoff system and on a construction of the barrier functions and comparison test functions , new in the literature. It leads to the L ∞-estimates proportional to the inverse of the diffusion coefficient.
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机译：在端对端激活f 1 （00）的“ k”个“最小化区域”结果参数 +1 m k 中生成的方法 min → +1 m k 用于根据三元数系统的f（+ 1,0，-1）结构的算术公理进行转换模拟信号的参数“«-/ +»[m j ] f（+/-）--”互补代码“转换为条件最小化位置信号的结构模拟信号±< / Sup> [m j ] f усл（+/-） min 及其实现的功能结构（俄罗斯逻辑版本）
