×
Diaz, J. B.; Young, E. C.

On the characteristic initial value problem for the wave equation in odd spatial dimensions with radial initial data. (English) Zbl 0274.35047

Ann. Mat. Pura Appl., IV. Ser. 94, 161-176 (1972).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0274.35047

Cited in 1 Document

MSC:

35L05 Wave equation
35Q05 Euler-Poisson-Darboux equations
35L15 Initial value problems for second-order hyperbolic equations
35A35 Theoretical approximation in context of PDEs
Cite Review PDF
Full Text: DOI

References:

[1] Courant, R.; Hilbert, D., Methods of Mathematical Physics vol. II (1962), New York: Interscience Publishers, New York · Zbl 0729.35001
[2] Riesz, M., L’integrale de Riemann-Liouville et le probleme de Cauchy, Acta. Math., 81, 1-223 (1948) · Zbl 0033.27601 · doi:10.1007/BF02395016
[3] Owens, O. G., Polynomial solutions of the cylindrical wave equation, Duke Math. J., 23, 371-383 (1956) · Zbl 0080.05304 · doi:10.1215/S0012-7094-56-02334-1
[4] Payne, L. E.; Weinberger, H. F., Remark on a paper of O. G. Owens, Duke Math. J., 24, 233-233 (1957) · Zbl 0080.05305 · doi:10.1215/S0012-7094-57-02431-6
[5] Protter, M. H., The characteristic initial value problem for the wave equation and Riemann’s method, Amer. Math. Monthly, 61, 702-705 (1954) · Zbl 0057.32403 · doi:10.2307/2307329
[6] Young, E. C., The characteristic initial value problem for the wave equation in n-dimensions, J. Math. and Mech., 17, 885-890 (1968) · Zbl 0164.41001
[7] Friedlander, F. G.; Heins, A. E., On a singular boundary value problem for the Euler-Darboux equation, J. Diff. Equa., 4, 460-491 (1968) · Zbl 0169.43401 · doi:10.1016/0022-0396(68)90030-2
[8] Weinstein, A., On the wave equation and Euler-Poisson-Darboux equation, 137-147 (1954), New York: McGraw Hill, New York · Zbl 0057.32404
[9] Weinstein, A., The generalized radiation problem and the Euler-Poisson-Darboux equation, Summa Brasiliensis, 3, 125-146 (1955) · Zbl 0068.07801
[10] Lions, J. L., On the generalized radiation problem of Weinstein, J. Math. Mech., 8, 873-888 (1959) · Zbl 0091.09101
[11] Lieberstein, H. M., On the generalized radiation problem of A. Weinstein, Pacific J. Math., 7, 1623-1640 (1957) · Zbl 0079.31003
[12] Darboux, G., Theorie Generale des Surfaces, vol. II, Book 4 (1889), Paris: Gauthier-Villars, Paris · JFM 21.0744.02
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.