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On the structure of incoming and outgoing subspaces for a wave equations in ℝn

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Abstract

We investigate the structure of incoming and outgoing subspaces in the Lax-Phillips scheme for the classic wave equation in ℝn.

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References

  1. P. D. Lax and R. S. Phillips,Scattering Theory, Academic Press, New York (1967).

    MATH  Google Scholar 

  2. P. Lax and R. Phillips, “Scattering theory for the acoustic equation in an even number of space dimensions,”Indiana Univ. Math. J.,22, No. 2, 101–134 (1972).

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  3. S. A. Kuzhel', “Abstract wave equation; definition and properties of solutions,” Preprint No. 96.14, Institute of Mathematics, Ukrainian Academy of Sciences Kiev (1996).

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  4. S. A. Kuzhel', “Abstract Lax-Phillips scattering scheme for second-order operator-differential equations,”Ukr. Mat. Zh.,48, No. 4, 452–463 (1996).

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  5. S. A. Kuzhel, “On the Lax-Phillips abstract scheme of scattering for one class of second-order equations,”Funkts. Anal. Prilozh.,30, No. 1, 54–57 (1996).

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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 5, pp. 708–712, May, 1999.

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Kuzhel', S.A. On the structure of incoming and outgoing subspaces for a wave equations in ℝn . Ukr Math J 51, 787–792 (1999). https://doi.org/10.1007/BF02591712

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  • DOI: https://doi.org/10.1007/BF02591712

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