## 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
Exact boundary controllability for non-autonomous quasilinear wave equations
โ Scribed by Zhiqiang Wang
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 202 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.843
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โฆ Synopsis
Abstract
In this paper, we first show that quite different from the autonomous case, the exact boundary controllability for nonโautonomous wave equations possesses various possibilities. Then we adopt a constructive method to establish the exact boundary controllability for oneโdimensional nonโautonomous quasilinear wave equations with various types of boundary conditions. Finally, we apply the results to multiโdimensional quasilinear wave equation with rotation invariance. Copyright ยฉ 2007 John Wiley & Sons, Ltd.
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