Damped wave systems on networks: exponential stability and uniform approximations

Author:

Egger H.,Kugler T.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference43 articles.

1. Abdallah, F., Mercier, D., Nicaise, S., Ammari, K.: Exponential stability of the wave equation on a star shaped network with indefinite sign damping. Palest. J. Math. 2, 113–143 (2013)

2. Babin, A.V., Vishik, M.I.: Regular attractors of semigroups and evolution equations. J. Math. Pures Appl. 62, 441–491 (1983)

3. Babin, A.V., Vishik, M.I.: Attractors of Evolution Equations Volume 25 of Studies in Mathematics and Its Applications. North-Holland, Amsterdam (1991)

4. Banks, H.T., Ito, K., Wang, C.: Exponentially stable approximations of weakly damped wave equations. In: Estimation and Control of Distributed Parameter Systems, Volume 100 of International Series of Numerical Mathematics, pp. 6–33. Birkhäuser, Basel (1991)

5. Below, J.V.: Classical solvability of linear parabolic equations on networks. J. Differ. Equ. 72, 316–337 (1988)

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