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Abstract

In this chapter we want to discuss the free space problem for the wave equation, so we assume G = ℝ and a ik = δ ik . It is relatively easy to study the behaviour of the solutions in this simple case. In particular we are interested in getting the asymptotics for large time. This is important because, in the next chapter, we want to compare solutions of arbitrary exterior problems with free space solutions.

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© 1986 Springer Fachmedien Wiesbaden

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Leis, R. (1986). The free space problem for the wave equation. In: Initial Boundary Value Problems in Mathematical Physics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-10649-4_5

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  • DOI: https://doi.org/10.1007/978-3-663-10649-4_5

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-519-02102-5

  • Online ISBN: 978-3-663-10649-4

  • eBook Packages: Springer Book Archive

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