论文标题
带有内存项的单数热方程式的零可控性
Null controllability for the singular heat equation with a memory term
论文作者
论文摘要
在本文中，我们重点介绍了带有所谓的反平势和记忆项的热方程的零可控性问题。为此，我们首先通过新的卡尔曼不等式建立了无均匀奇异热方程的无效可控性，其重量不会在t = 0时爆炸。然后通过Kakutani的固定点定理证明了奇异的热方程式的无效属性。
In this paper we focus on the null controllability problem for the heat equation with the so-called inverse square potential and a memory term. To this aim, we first establish the null controllability for a nonhomogeneous singular heat equation by a new Carleman inequality with weights which do not blow up at t=0. Then the null controllability property is proved for the singular heat equation with memory under a condition on the kernel, by means of Kakutani's fixed-point Theorem.
