Oldham, Keith B.; Spanier, Jerome A general solution of the diffusion equation for semiinfinite geometries. (English) Zbl 0235.35038 J. Math. Anal. Appl. 39, 655-669 (1972). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 35K57 Reaction-diffusion equations 35K55 Nonlinear parabolic equations PDFBibTeX XMLCite \textit{K. B. Oldham} and \textit{J. Spanier}, J. Math. Anal. Appl. 39, 655--669 (1972; Zbl 0235.35038) Full Text: DOI References: [1] Carslaw, H. S.; Jaeger, J. C., The Conduction of Heat in Solids (1947), Oxford Univ. Press (Clarendon): Oxford Univ. Press (Clarendon) London · Zbl 0029.37801 [2] Crank, J., The Mathematics of Diffusion (1956), Oxford Univ. Press: Oxford Univ. Press London · Zbl 0071.41401 [3] Babbitt, J. D., On the differential equations of diffusion, Canad. J. Res. A, 28, 449 (1950) [4] Moore, F. K., Theory of Laminar Flows (1964), Princeton Univ. Press: Princeton Univ. Press Princeton, NJ, Chap. 2 [5] Carslaw, H. S.; Jaeger, J. C., The Conduction of Heat in Solids, ((1947), Oxford Univ. Press (Clarendon): Oxford Univ. Press (Clarendon) London), 27-29, for examples of other applications of the diffusion equation · Zbl 0029.37801 [6] Mathews, J.; Walker, R. L., Mathematical Methods of Physics, ((1965), Benjamin: Benjamin New York), 210 [7] Liouville, J., Mémoire sur le calcul des différentielles à indices quelconques, J. École Polytech., 13, 62-71 (1832) [8] Post, E. L., Generalized differentiation, Trans. Amer. Math. Soc., 32, 723-781 (1930) · JFM 56.0349.01 [9] Riesz, M., L’intégral de Riemann-Liouville et le problème de Cauchy, Acta Math., 81, 1-27 (1949) · Zbl 0033.27601 [10] Grünwald, A. K., Ueber “begrenzte” Derivationen und deren Anwendung, Z. Math. Phys., 12, 441-480 (1867) [11] J. Spanier and K. B. Oldham; J. Spanier and K. B. Oldham · Zbl 0292.26011 [12] Erdelyi, A., (Tables of Integral Transforms, Vol. 2 (1954), McGraw-Hill: McGraw-Hill New York) [13] Duff, G. F.D, Partial Differential Equations (1956), Univ. of Toronto Press: Univ. of Toronto Press Toronto · Zbl 0071.30903 [14] Heaviside, O., Electromagnetic Theory, Vol.2 (1920), (reprinted by Dover, New York, 1950) · JFM 30.0801.03 [15] (Abramowitz, M.; Stegun, I. A., Handbook of Mathematical Functions. Handbook of Mathematical Functions, Nat. Bur. Standards, Appl. Math. Ser. No. 55 (1964), U.S. Gov. Printing Office: U.S. Gov. Printing Office Washington, DC) · Zbl 0171.38503 [16] Oldham, K. B., A new approach to the solution of electrochemical problems involving diffusion, Anal. Chem., 41, 1904 (1969) 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.