Bounded Solutions to Boundary Value Hyperbolic Problems
Analysis of PDEs
2025-12-10 v1
Abstract
We investigate linear boundary value problems for first-order one-dimensional hyperbolic systems in a strip. We establish conditions for existence and uniqueness of bounded continuous solutions. For that we suppose that the non-diagonal part of the zero-order coefficients vanish at infinity. Moreover, we establish a dissipativity condition in terms of the boundary data and the diagonal part of the zero-order coefficients.
Keywords
Cite
@article{arxiv.1701.02091,
title = {Bounded Solutions to Boundary Value Hyperbolic Problems},
author = {R. Klyuchnyk and I. Kmit},
journal= {arXiv preprint arXiv:1701.02091},
year = {2025}
}
Comments
12 pages. arXiv admin note: text overlap with arXiv:1610.04058, arXiv:1604.04401