Robustness of Exponential Dichotomies of Boundary-Value Problems for General First-Order Hyperbolic Systems
Analysis of PDEs
2025-12-10 v1
Abstract
We examine robustness of exponential dichotomies of boundary value problems for general linear first-order one-dimensional hyperbolic systems. The boundary conditions are supposed to be of types ensuring smoothing solutions in finite time, which includes reflection boundary conditions. We show that the dichotomy survives in the space of continuous functions under small perturbations of all coefficients in the differential equations.
Keywords
Cite
@article{arxiv.1302.1716,
title = {Robustness of Exponential Dichotomies of Boundary-Value Problems for General First-Order Hyperbolic Systems},
author = {I. Kmit and L. Recke and V. Tkachenko},
journal= {arXiv preprint arXiv:1302.1716},
year = {2025}
}
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18 pages