References
Bianchini, L.: Sopra un' operazione funzionale atta a trasformare i potenziali logaritmici in simmetrici. Rend. Accad. Lincei 24, 1108–1111, 1041–1046 (1915).
Erdélyi, A., W. Magnus, F. Oberhettinger & F. G. Tricomi: Higher Transcendental Functions, Vol. II. New York 1953.
Erdélyi, A., W. Magnus, F. Oberhettinger & F. G. Tricomi: Tables of Integral Transforms, Vol. I. New York 1954.
Germain, P., & R. Bader: Sur quelques problèmes relatifs à l'équation de type mixte de Tricomi. Off. Nat. d'Etudes et de Recherches Aeronautiques, Paris 1952.
Lieberstein, M. H.: On the generalized radiation problem of A. Weinstein. Pac. J. Math. 7, 1623–1640 (1959).
Lions, J. L.: On the generalized radiation problem of Weinstein. J. Math. Mech. 8, 873–888 (1959).
Sauer, R.: Supersonic flow past slender bodies of arbitrary shape. ARDC Contract No. AF 61 (514)-1080, Technical Note No. 1, München 1957.
Schwartz, L.: Théorie des Distributions, 7, t. I, II. Paris 1950.
Schwartz, L.: Méthodes Mathématiques de la Physique. VI. Paris.
Suschowk, D.: Lösungen des charakteristischen Anfangswertproblems der Wellengleichung. Math. Z. 68, 340–361 (1958).
Suschowk, D.: Die Umkehrung einer Klasse singulärer Integrale. Math. Z. 69, 363–365 (1958).
Suschowk, D.: Verallgemeinerte Ausstrahlungslösungen der Wellengleichung bei beliebiger Dimensionszahl. S.-Ber. Bayer. Akad. Wiss., Math.-nat. Kl. 1959, p. 387–413.
Suschowk, D.: Bemerkungen zu meiner Arbeit: „Verallgemeinerte Ausstrahlungslösungen ...”. S.-Ber. Bayer. Akad. Wiss., Math.-nat. Kl. 1960, p. 251–261.
Weinstein, A.: The generalized radiation problem and the Euler-Poisson Darboux equation. Summa Brasiliensis Mathematicae 3, 125–146 (1955).
Author information
Authors and Affiliations
Additional information
Communicated by L. Cesari
This research was supported in part by the United States Air Force through the Air Force Office of Scientific Research of the Air Research and Development Command under Contract No. AF 49(638)228.
Rights and permissions
About this article
Cite this article
Suschowk, D.K. On a class of singular solutions of the Euler-Poisson-Darboux equation. Arch. Rational Mech. Anal. 11, 50–61 (1962). https://doi.org/10.1007/BF00253929
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00253929