论文标题
与内存的退化抛物线方程的可控性
Controllability of degenerate parabolic equation with memory
论文作者
论文摘要
在本文中，我们分析了涉及具有局部分布式控制的记忆项的退化抛物线方程的零可控性能。我们首先通过新的Carleman估计值来得出非均匀退化热方程的无效结果，其加权时间函数不会在t = 0时吹出。然后，该结果已成功地与经典的固定点一起成功使用，以获得初始内存系统的零可控性。
In this paper, we analyze the null controllability property for a degenerate parabolic equation involving memory terms with a locally distributed control. We first derive a null controllability result for a nonhomogeneous degenerate heat equation via new Carleman estimates with weighted time functions that do not blow up at t= 0. Then this result is successfully used with a classical fixed point to obtain null controllability for the initial memory system.
