Perturbations of superstable linear hyperbolic systems
| Autor: | Natalya Lyul'ko, Irina Kmit |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Class (set theory) Pure mathematics Applied Mathematics 010102 general mathematics Zero (complex analysis) Value (computer science) 02 engineering and technology First order 01 natural sciences Hyperbolic systems 020901 industrial engineering & automation Exponential stability Bounded function 0101 mathematics Analysis Smoothing Mathematics |
| Zdroj: | Journal of Mathematical Analysis and Applications. 460:838-862 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2017.12.030 |
| Popis: | The paper deals with initial-boundary value problems for linear non-autonomous first order hyperbolic systems whose solutions stabilize to zero in a finite time. We prove that problems in this class remain exponentially stable in L 2 as well as in C 1 under small bounded perturbations. To show this for C 1 , we prove a general smoothing result implying that the solutions to the perturbed problems become eventually C 1 -smooth for any L 2 -initial data. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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