𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

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


Global exact boundary controllability fo
✍ Ke Wang 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

## 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-a
✍ Zhiqiang Wang 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 202 KB

## 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

Exact boundary observability for nonauto
✍ Lina Guo; Zhiqiang Wang 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

## 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

EXACT BOUNDARY CONDITION PERTURBATION FO
✍ R.G. Parker; C.D. Mote; Jr 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 264 KB

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

Finite element formulation of exact non-
✍ Lonny L. Thompson; Runnong Huan 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 200 KB 👁 2 views

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