Computation of the Riemann function for the operator $\partial ^{n}/\partial x_{1}\partial x_{2}\cdots \partial x_{n}+a(x_{1},x_{2},\cdots ,x_{n})$
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- by H. M. Sternberg and J. B. Diaz PDF
- Math. Comp. 19 (1965), 562-569 Request permission
References
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B. Riemann, "Über die fortpflanzung ebener luftwellen von endlicher Schwingungsweite," Gesammelte Mathematische Werke, Leipzig, 1892, pp. 156–181.
- Harvey Cohn, The Riemann function for $\partial ^2u/\partial x\partial y+H(x+y)u=0$, Duke Math. J. 14 (1947), 297–304. MR 21212 L. Bianchi, "Il metodo di Riemann esteso alla integrazione della equazione: ${\partial ^n}u/\partial {x_1}\partial {x_2} \cdots \partial {x_n} = Mu$," Rend. Accad. Lincei Ser. 5, v. 4, 1895, pp. 8–18. L. Bianchi, "Sulla estensione del metodo di Riemann alle equazioni lineari alle derivate parziali d’ordine superiore," Rend. Accad. Lincei Ser. 5, v. 4, 1895, pp. 89–99. L. Bianchi, "Sulla estensione del metodo di Riemann alle equazioni lineari a derivate parziali d’ordine superiore Nota III," Rend. Accad. Lincei Ser. 5, v. 4, 1895, pp. 133–142. O. Niccoletti, "Sull’estensione del motodo di Riemann alie equazioni lineari a derivate parziali d’ordine superiore," Rend. Accad. Lincei Ser. 5, v. 4, 1895, pp. 330–337. H. M. Sternberg & J. B. Diaz, "The solution of the characteristic and the Cauchy boundary value problems for the Bianchi partial differential equation in $n$ independent variables by a generalization of Riemann’s method," NavWeps Report 7264, Oct., 1960. P. du Bois Reymond, "Über lineare partielle differentialgleichungen zweiter Ordnung," J. für Math., v. 104, Heft 3, 1889, pp. 241–301.
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Math. Comp. 19 (1965), 562-569
- MSC: Primary 65.67
- DOI: https://doi.org/10.1090/S0025-5718-1965-0199972-X
- MathSciNet review: 0199972