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The generalized radiation problem

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Topics in Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 419))

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References

  1. Darboux, G.: Lecons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal. Deuxième partie. Les congruences et les équations linéaires aux dérivées partielles. Des lignes tracées sur les surfaces.-Gauthier-Villars et Fils, Imprimeurs-Libraires, Paris, 1889.

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  2. Lions, J. L.: On the generalized radiation problem of Weinstein.-J. Math. Mech. 8, 1959, pp.873–888.

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  3. Poisson, [S. D.]: Mémoire sur l'intégration des équations linéaires aux différences partielles.-Journal de l'École Royale Polytechnique, Dixneuvième cahier, Tome XII, 1823, pp.214–248.

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  4. Schruben, J.: The Cauchy problem for a singular partial differential equation.-Dissertation, University of Michigan, 1968.

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  5. Suschowk, D.: Lösungen des charakteristischen Anfangswertproblems der Wellengleichung, Tschebyscheffsche Polynome und Legendresche Funktionen 2. Art.-Math. Z. 68, 1957/1958, pp.340–361.

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  6. -"-On a class of singular solutions of the Euler-Poisson-Darboux equation.-Arch. Rational Mech. Anal. 11, 1962, pp.50–61.

    Article  MathSciNet  MATH  Google Scholar 

  7. Volterra, V.: Sulle vibrazioni luminose nei mezzi isotropi.-Atti Reale Accad. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (5) (1) 1:2, 1892, pp.161–170.

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  8. Watson, G. N.: A treatise on the theory of Bessel functions.-[Second edition.] The University Press, Cambridge, 1966.

    MATH  Google Scholar 

  9. Weinstein, A.: The generalized radiation problem and the Euler-Poisson-Darboux equation.-Summa Brasil. Math. 3, 1955, pp.125–147.

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, 48104, Ann Arbor, Michigan, USA

    Albert E. Heins

Authors
  1. Albert E. Heins
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Olli Lehto Ilppo Simo Louhivaara Rolf Nevanlinna

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© 1974 Springer-Verlag

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Heins, A.E. (1974). The generalized radiation problem. In: Lehto, O., Louhivaara, I.S., Nevanlinna, R. (eds) Topics in Analysis. Lecture Notes in Mathematics, vol 419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064724

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  • DOI: https://doi.org/10.1007/BFb0064724

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06965-2

  • Online ISBN: 978-3-540-37907-2

  • eBook Packages: Springer Book Archive

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