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On a uniqueness theorem of L. Amerio and G. Prouse

Published online by Cambridge University Press:  14 November 2011

Alain Haraux
Alain Haraux
Affiliation:
Université Pierre et Marie Curie, Laboratoire d'Analyse Numérique (LA 189), Tour 55–65 – 5 éme étage, 4, place Jussieu, 75230 Paris Cédex 05, France
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Synopsis

We give two generalizations of a theorem of L. Amerio and G. Prouse concerning uniqueness of the almost-periodic solution of the wave equation with a local multivalued damping term and almost-periodic forcing.

Counterexamples are given which show that these results may fail if some hypotheses of the theorems are dropped. They also show that the two generalizations are relatively independent.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 3-4 , 1984 , pp. 221 - 230
Copyright
Copyright © Royal Society of Edinburgh 1984

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References

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