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The generalized radiation problem

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

Keywords

  • Singular Line
  • Liouville Type
  • Hardy Type
  • Volterra Type
  • Hyperbolic Partial Differential Equation

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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.

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  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.

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  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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© 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

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