A generalization of theorems of Rellich and Atkinson
HTML articles powered by AMS MathViewer
- by Calvin H. Wilcox PDF
- Proc. Amer. Math. Soc. 7 (1956), 271-276 Request permission
References
- F. V. Atkinson, On Sommerfeld’s “radiation condition.”, Philos. Mag. (7) 40 (1949), 645–651. MR 30103 B. B. Baker and E. T. Copson, The mathematical theory of Huygens’ principle, 2d ed., Oxford, 1950. R. B. Barrar and A. F. Kay, A series development of a solution of the wave equation in powers of 1/r, Technical Research Group, New York City, unpublished. O. D. Kellogg, Foundations of potential theory, New York, Ungar, 1929.
- Franz Rellich, Über das asymptotische Verhalten der Lösungen von $\Delta u+\lambda u=0$ in unendlichen Gebieten, Jber. Deutsch. Math.-Verein. 53 (1943), 57–65 (German). MR 17816 A. Sommerfeld, Die Greensche Funktion der Schwingungsgleichung, Jber. Deutschen Math. Verein. vol. 21 (1912) pp. 309-353.
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 271-276
- MSC: Primary 81.0X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0078912-4
- MathSciNet review: 0078912