This paper investigates the nonnegative approximate controllability for the one-dimensional degenerate heat equation governed by bilinear control. Both non-controllability and approximate controllability are studied for the system. If the control is restricted to act on a fixed domain, it is not controllable. If the control is allowed to mobile, it is approximately controllable.

中文翻译：

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双线性控制的退化热方程的近似可控性

本文研究了由双线性控制控制的一维简并热方程的非负近似可控性。研究了系统的不可控性和近似可控性。如果控件被限制为只能作用于固定域，则它是不可控制的。如果控件被允许移动，则它是可控的。