Decoupling techniques for wave equations with dynamic boundary conditions

V. Casarino; K.-J. Engel; G. Nickel; S. Piazzera

doi:10.3934/dcds.2005.12.761

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2005, Volume 12, Issue 4: 761-772. Doi: 10.3934/dcds.2005.12.761

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Decoupling techniques for wave equations with dynamic boundary conditions

1.
Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I - 10129 Torino
2.
Dipartimento di Matematica, Università di L'Aquila, Sezione Ingeneria, Località Monteluco, I - 67040 Roio Poggio (AQ)
3.
Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen

Received: December 31, 2003

Revised: September 30, 2004

Published: June 2005

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Abstract

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.

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Mathematics Subject Classification: 34G10, 47D06, 47D09, 35L10.

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