Bounded Solutions to Boundary Value Hyperbolic Problems
arXiv:1701.02091 · doi:10.1007/s10958-017-3619-6
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.
12 pages. arXiv admin note: text overlap with arXiv:1610.04058, arXiv:1604.04401