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arXiv · 1701.02091

Bounded Solutions to Boundary Value Hyperbolic Problems

R. Klyuchnyk·I. Kmit
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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.

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R. Klyuchnyk, I. Kmit. 2017-01-09. Bounded Solutions to Boundary Value Hyperbolic Problems. https://doi.org/10.1007/s10958-017-3619-6

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