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Local energy decay in linear elastodynamics

โœ Scribed by Antonio Russo; Alfonsina Tartaglione

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
151 KB
Volume
34
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

Communicated by M. Renardy

We prove that the solutions of a general initial boundary-value problem of linear elastodynamics in an unbounded domain tend locally to zero as the time tends to +โˆž, provided the acoustic tensor satisfies the hyperbolicity condition and a non-trapping hypothesis is assumed.

๐Ÿ“œ SIMILAR VOLUMES

Local energy decay for linear wave equat
Local energy decay for linear wave equations with non-compactly supported initial data
โœ Ryo Ikehata ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 101 KB

## Abstract A local energy decay problem is studied to a typical linear wave equation in an exterior domain. For this purpose, we do not assume any compactness of the support on the initial data. This generalizes a previous famous result due to Morawetz (__Comm. Pure Appl. Math__. 1961; **14**:561โ€“