1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability
arXiv:2208.00858 · doi:10.1007/978-3-031-36375-7_34
Abstract
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 -generalized solutions stabilize to zero in a finite time. Our criteria are expressed in terms of a propagation operator along characteristic curves.