July  2005, 12(4): 761-772. doi: 10.3934/dcds.2005.12.761

Decoupling techniques for wave equations with dynamic boundary conditions

1. 

Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I - 10129 Torino, Italy

2. 

Dipartimento di Matematica, Università di L'Aquila, Sezione Ingeneria, Località Monteluco, I - 67040 Roio Poggio (AQ), Italy

3. 

Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany, Germany

Received  January 2004 Revised  October 2004 Published  January 2005

In this note we introduce a decoupling technique for operator matrices with "non-diagonal" domains on "coupled" spaces which greatly simplifies the study of Cauchy problems stemming from wave equations with dynamic boundary conditions.
Citation: V. Casarino, K.-J. Engel, G. Nickel, S. Piazzera. Decoupling techniques for wave equations with dynamic boundary conditions. Discrete & Continuous Dynamical Systems - A, 2005, 12 (4) : 761-772. doi: 10.3934/dcds.2005.12.761
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