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arXiv · 2208.00858

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

Irina Kmit
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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 $L^2$-generalized solutions stabilize to zero in a finite time. Our criteria are expressed in terms of a propagation operator along characteristic curves.

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Irina Kmit. 2022-08-01. 1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability. https://doi.org/10.1007/978-3-031-36375-7_34

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