## Abstract In this paper, we first show that quite different from the autonomous case, the exact boundary controllability for non‐autonomous wave equations possesses various possibilities. Then we adopt a constructive method to establish the exact boundary controllability for one‐dimensional non‐a
Global exact boundary controllability for 1-D quasilinear wave equations
✍ Scribed by Ke Wang
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 156 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1358
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✦ Synopsis
Communicated by A. Kunoth
Based on the local exact boundary controllability for 1-D quasilinear wave equations, the global exact boundary controllability for 1-D quasilinear wave equations in a neighborbood of any connected set of constant equilibria is obtained by an extension method. Similar results are also given for a kind of general 1-D quasilinear hyperbolic equations. Copyright
📜 SIMILAR VOLUMES
## Abstract By means of a direct and constructive method based on the theory of semi‐global __C__^2^ solution, the local exact boundary observability and an implicit duality between the exact boundary controllability and the exact boundary observability are shown for 1‐D quasilinear wave equations