论文标题
具有非线性边界条件的1D双曲系统II：有限时间稳定的标准
1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability
论文作者
论文摘要
我们研究了具有非线性边界条件的线性脱钩双曲系统的一维非自主初始边界值问题的有限时间稳定性。我们建立了足够和必要的条件，在有限的时间内，连续或$ l^2 $概括的解决方案稳定在零。我们的标准是根据特征曲线的传播操作员表达的。
We investigate the finite time stability property of one-dimensional nonautonomous initial boundary value problems for linear decoupled hyperbolic systems with nonlinear boundary conditions. We establish sufficient and necessary conditions under which continuous or $L^2$-generalized solutions stabilize to zero in a finite time. Our criteria are expressed in terms of a propagation operator along characteristic curves.
