Robustness of Exponential Dichotomies of Boundary-Value Problems for General First-Order Hyperbolic Systems
Please always quote using this URN:urn:nbn:de:0296-matheon-11952
- 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.
Download full text files
Additional Services
| Author: | Irina Kmit, Lutz Recke, Viktor Tkachenko |
|---|---|
| URN: | urn:nbn:de:0296-matheon-11952 |
| Referee: | Alexander Mielke |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2013/02/08 |
| Release Date: | 2013/02/08 |
| Tag: | first-order hyperbolic systems, boundary value problems; exponential dichotomies; stability |
| Institute: | Humboldt-Universität zu Berlin |
| MSC-Classification: | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Fxx General first-order equations and systems / 35F15 Boundary value problems for linear first-order equations |
| Preprint Number: | 998 |
