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Über die Randwertprobleme der Helmholtzschen Schwingungsgleichung

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Literatur

  1. Günter, N. M.: Die Potentialtheorie und ihre Anwendungen auf Grundaufgaben der mathematischen Physik. Leipzig: B. G. Teubner 1957.

    Google Scholar 

  2. Ikebe, T.: Eigenfunction expansions associated with the Schroedinger operators and their applications to scattering theory. Arch. Rational Mech. Anal.5, 1–34 (1960).

    Google Scholar 

  3. Kato, T.: Growth properties of solutions of the reduced wave equation with a variable coefficient. Comm. Pure Appl. Math.12, 403–425 (1959).

    Google Scholar 

  4. Meyers, N., u.J. Serrin: The exterior Dirichlet problem for second order elliptic partial differential equations. J. Math. Mech.9, 513–538 (1960).

    Google Scholar 

  5. Rellich, F.: Über das asymptotische Verhalten der Lösungen von δU+λU=0 in unendlichen Gebieten. Jber. dtsch. Math.-Verein.53, 57–65 (1943).

    Google Scholar 

  6. Smirnow, H.: Höhere Mathematik. IV. Berlin: Deutscher Verlag der Wissenschaften 1958.

    Google Scholar 

  7. Sommerfeld, A.: Die Greensche Funktion der Schwingungsgleichung. Jber. dtsch. Math.-Verein.21, 309–353 (1912).

    Google Scholar 

  8. Werner, P.: Zur mathematischen Theorie akustischer Wellenfelder. Arch. Rational Mech. Anal.6, 231–260 (1960).

    Google Scholar 

  9. : Randwertprobleme der mathematischen Akustik. Arch. Rational Mech. Anal.10, 29–66 (1962).

    Google Scholar 

  10. : On the exterior boundary value problem of perfect reflection for stationary electromagnetic wave fields. J. Math. Anal. Appl.7, 348–396 (1963).

    Google Scholar 

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  1. Institut für angewandte Mathematik der Technischen Hochschule, 75, Karlsruhe

    Peter Werner

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  1. Peter Werner
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Werner, P. Über die Randwertprobleme der Helmholtzschen Schwingungsgleichung. Math Z 85, 226–240 (1964). https://doi.org/10.1007/BF01112143

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  • DOI: https://doi.org/10.1007/BF01112143

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