标题： 具有非圆柱形区域的半线性退化方程的零可控性的Stackelberg-Nash策略 显示英文标题

标题： Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains

摘要： 在本文中，我们使用一个Stackelberg-Nash策略来证明在一个非圆柱形域中定义的一维半线性抛物方程的局部零可控性，其中扩散系数在边界的一个点处退化。 线性退化系统通过作者在[19]中证明的退化非自治系统的Carleman不等式进行处理，而半线性系统的局部可控性则利用Liusterniks逆函数定理获得。 显示英文摘要

摘要： In this paper we use a Stackelberg-Nash strategy to show the local null controllability of a semilinear parabolic equation in one-dimension defined in a non-cylindrical domain where the diffusion coefficient degenerates at one point of the boundary. The linearized degenerated system is treated using a Carleman inequality for degenerated non-autonomous systems proved by the autors in [19] and the local controllability of the semilinear system is obtained using Liusterniks inverse function theorem.