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Attractors for a damped wave equation on ℝ3 with linear memory

✍ Scribed by Vittorino Pata

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
164 KB
Volume
23
Category
Article
ISSN
0170-4214

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✦ Synopsis

A damped semilinear hyperbolic equation on 1 with linear memory is considered in a history space setting. Viewing the past history of the displacement as a variable of the system, it is possible to express the solution in terms of a strongly continuous process of continuous operators on a suitable Hilbert space. Long-time behaviour results are then discussed. In the autonomous case, the existence of a universal attractor is achieved.

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