论文标题
阻尼非线性波方程的无效可控性
Null controllability of damped nonlinear wave equation
论文作者
论文摘要
在本文中，我们研究了非线性波系统的无效可控性。最初，我们采用盖金方法和固定点定理的组合来建立具有依赖于速度（几何控制条件）的非线性函数的半线性波方程的零可控性。随后，利用一种新型的迭代方法，我们以建设性的方式证明了一类准线性波系统的无效可控性。最后，我们为一类完全非线性波系统提供了控制结果，并作为应用程序。
In this paper, we investigate the null controllability of nonlinear wave systems. Initially, we employ a combination of the Galerkin method and a fixed point theorem to establish the null controllability for semi-linear wave equations with nonlinear functions that are dependent on velocities, under the geometric control condition. Subsequently, utilizing a novel iterative method, we demonstrate the null controllability for a class of quasi-linear wave systems in a constructive manner. Lastly, we present a control result for a class of fully nonlinear wave systems, serving as an application.
