Abstract
In this chapter we want to describe the asymptotic behaviour for large t of the solutions in the general case. We start by treating solutions in bounded domains. In section 6.2 we deal with exterior domains and prove local energy decay. In section 6.3 we show the existence of wave operators using a result of A. L. Belopolskii and M.Sh. Birman (1968), which will be proved in section 6.4.
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© 1986 Springer Fachmedien Wiesbaden
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Leis, R. (1986). The wave equation continued: time-asymptotic behaviour of the solutions. In: Initial Boundary Value Problems in Mathematical Physics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-10649-4_6
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DOI: https://doi.org/10.1007/978-3-663-10649-4_6
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-519-02102-5
Online ISBN: 978-3-663-10649-4
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