## 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 observability for 1-D quasilinear wave equations
✍ Scribed by Tatsien Li (Daqian Li)
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 91 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.741
No coin nor oath required. For personal study only.
✦ Synopsis
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 with various boundary conditions. Copyright © 2006 John Wiley & Sons, Ltd.
📜 SIMILAR VOLUMES
## 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
## Abstract By means of the theory on the semiglobal __C__^1^ solution to the mixed initial‐boundary value problem for first‐order quasilinear hyperbolic systems, we establish the local exact boundary observability for general nonautonomous first‐order quasilinear hyperbolic systems without zero ei
A perturbation method is presented to analytically calculate eigensolutions of the two-dimensional wave equation when asymmetric perturbations are present in the boundary conditions. The unique feature of the method is that the sequence of boundary value problems governing the eigensolution perturba
A modiÿed version of an exact Non-re ecting Boundary Condition (NRBC) ÿrst derived by Grote and Keller is implemented in a ÿnite element formulation for the scalar wave equation. The NRBC annihilate the ÿrst N wave harmonics on a spherical truncation boundary, and may be viewed as an extension of th