The Euler-Poisson-Darboux equation in the exceptional cases
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- by E. K. Blum
- Proc. Amer. Math. Soc. 5 (1954), 511-520
- DOI: https://doi.org/10.1090/S0002-9939-1954-0063543-0
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References
- Leifur Ásgeirsson, Über eine Mittelwertseigenschaft von Lösungen homogener linearer partieller Differentialgleichungen 2. Ordnung mit konstanten Koeffizienten, Math. Ann. 113 (1937), no. 1, 321–346 (German). MR 1513094, DOI 10.1007/BF01571637
- Alexandre Weinstein, Sur le problème de Cauchy pour l’équation de Poisson et l’équation des ondes, C. R. Acad. Sci. Paris 234 (1952), 2584–2585 (French). MR 49452
- Alexander Weinstein, On the wave equation and the equation of Euler-Poisson, Proceedings of Symposia in Applied Mathematics, Vol. V, Wave motion and vibration theory, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1954, pp. 137–147. MR 0063544
- J. B. Diaz and H. F. Weinberger, A solution of the singular initial value problem for the Euler-Poisson-Darboux equation, Proc. Amer. Math. Soc. 4 (1953), 703–715. MR 58099, DOI 10.1090/S0002-9939-1953-0058099-1 E. K. Blum, A uniqueness theorem for the Euler-Poisson-Darboux equation, Bull. Amer. Math. Soc. Abstract 59-4-350. G. Darboux, Leçons sur la théorie générale des surfaces, 2d ed., vol. II, Paris, 1914-15.
- E. K. Blum, The solutions of the Euler-Poisson-Darboux equation for negative values of the parameter, Duke Math. J. 21 (1954), 257–269. MR 63542
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 511-520
- MSC: Primary 35.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0063543-0
- MathSciNet review: 0063543