Frequency domain approach for the polynomial stability of a system of partially damped wave equations

By Zhuangyi Liu, Bopeng Rao. 2007

59 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2cefb893dca2f3c10e75bae4032786d67310768e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Yuri Tomilov
2. C. Batty
3. A. Borichev
4. Zhuangyi Liu
5. Thomas Duyckaerts
6. Ramón Quintanilla
7. J. E. Muñoz Rivera
8. Mauro L. Santos

In Control and Systems Engineering

1. Yuri Tomilov
2. C. Batty
3. Thomas Duyckaerts
4. A. Borichev
5. Jianghao Hao
6. Zhuangyi Liu
7. Ramón Quintanilla
8. J. E. Muñoz Rivera

In Mathematical Physics

1. C. Batty
2. Yuri Tomilov
3. Thomas Duyckaerts
4. A. Borichev
5. Jianghao Hao
6. Zhuangyi Liu
7. Carlos Lizama
8. Raphael Cote

Citations in the corpus

• Optimal polynomial decay of functions and operator semigroups (2009, background): “in [3], [8], [21], [22] can be improved to sharp formulations or shown to be sharp.”
• Stability of an abstract system of coupled hyperbolic and parabolic equations (2012, background): “In the literature, there are numerous papers on the stability of individual equations, such as elastic string, beam, and plate equations, thermoelastic equations, and magneto-elastic equations which we can only quote a few here [6,10,12,16].”
• Non-uniform stability for bounded semi-groups on Banach spaces (2008, background): “Observe that the semigroup property does not imply anymore that the rate of convergence in (2) is exponential, and there are many practical examples where the decay is only logarithmic or polynomial (see e.g. [15, 16, 17, 28, 6, 19 , 26, 32, 9, 12]).”