𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Pointwise and Internal Controllability for the Wave Equation

✍ Scribed by S. A. Avdonin; T. I. Seidman

Publisher
Springer
Year
2002
Tongue
English
Weight
148 KB
Volume
46
Category
Article
ISSN
0095-4616

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Exponential decay for the one-dimensiona
Exponential decay for the one-dimensional wave equation with internal pointwise damping
✍ A. Y. Khapalov πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 123 KB πŸ‘ 2 views

The paper considers a particular type of closed-loop for the wave equation in one space dimension with damping acting at an arbitrary internal point, for which the uniform stabilization with exponential decay rate is shown. Applications to chains of coupled strings are also discussed.

Exact Internal Controllability for the S
Exact Internal Controllability for the Semilinear Heat Equation
✍ Weijiu Liu; Graham H Williams πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 225 KB

Using the Browder᎐Minty surjective theorem from the theory of monotone operators, we consider the exact internal controllability for the semilinear heat 2 Ε½ . equation. We show that the system is exactly controllable in L ⍀ if the nonlinearities are globally Lipschitz continuous. Furthermore, we pro