1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability

Autor:	Kmit, Irina
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.00858 Zobrazit plný text záznamu View this record from Arxiv