On two methods of generating solutions of linear partial differential equations by means of definite integrals
Authors:
J. B. Diaz and G. S. S. Ludford
Journal:
Quart. Appl. Math. 12 (1955), 422-427
MSC:
Primary 35.0X
DOI:
https://doi.org/10.1090/qam/64996
MathSciNet review:
64996
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- J. Le Roux, Sur les intégrales des équations linéaires aux dérivées partielles du second ordre à deux variables indépendantes, Ann. Sci. École Norm. Sup. (3) 12 (1895), 227–316 (French). MR 1508913
G. Darboux, Leçons sur la Théorie Générale des Surfaces, 2nd Ed., 2, Paris, 1914-15, pp. 54 ff.
F. Tricomi, Sulle Equazioni Lineari alle Derivate Parziale di $2^{o}$ Ordine di Tipo Misto, Atti. Acc. Lincei, (5), CI. Sci. Fis. Mat. Nat. 14, 133-217 (1923).
E. Goursat, Cours d’Analyse Mathématique, 4th ed., 3, Paris, 1927, pp. 96–99.
S. Bergman, Zur Theorie der Funktionen, die eine lineare partielle Differentialgleichung befriedigen, Mathematicheskii Sbornik, New Ser. 2, 1169-1198 (1937).
- Stefan Bergman, On two-dimensional flows of compressible fluids, Tech. Notes Nat. Adv. Comm. Aeronaut. 1945 (1945), no. 972, 81 pp. (3 plates). MR 0014874
- Stefan Bergman, Two-dimensional transonic flow patterns, Amer. J. Math. 70 (1948), 856–891. MR 30379, DOI https://doi.org/10.2307/2372217
- A. G. Ghaffari, The hodograph method in gas dynamics, University of Tehran. Faculty of Science., 1950. Publ. no. 85,. MR 0052940
- Stefan Bergman, Operatorenmethoden in der Gasdynamik, Z. Angew. Math. Mech. 32 (1952), 33–45 (German). MR 49730, DOI https://doi.org/10.1002/zamm.19520320202
- Peter Henrici, Bergmans Integraloperator erster Art und Riemannsche Funktion, Z. Angew. Math. Phys. 3 (1952), 228–232 (German). MR 47235, DOI https://doi.org/10.1007/bf02008829
- Stefan Bergman, On solutions of linear partial differential equations of mixed type, Amer. J. Math. 74 (1952), 444–474. MR 57437, DOI https://doi.org/10.2307/2372009
J. Le Roux, Sur les Intügrales des Équations Linéares aux Deriviés Partielles du Second Ordre á Deux Variables Indépendantes, Annales Eo. Norm. Sup. (3), 12, 227-316 (1895).
G. Darboux, Leçons sur la Théorie Générale des Surfaces, 2nd Ed., 2, Paris, 1914-15, pp. 54 ff.
F. Tricomi, Sulle Equazioni Lineari alle Derivate Parziale di $2^{o}$ Ordine di Tipo Misto, Atti. Acc. Lincei, (5), CI. Sci. Fis. Mat. Nat. 14, 133-217 (1923).
E. Goursat, Cours d’Analyse Mathématique, 4th ed., 3, Paris, 1927, pp. 96–99.
S. Bergman, Zur Theorie der Funktionen, die eine lineare partielle Differentialgleichung befriedigen, Mathematicheskii Sbornik, New Ser. 2, 1169-1198 (1937).
S. Bergman, On two-dimensional flows of compressible fluids, NACA Technical Note 972, 1945, pp. 34-35.
S. Bergman, Two-dimensional transonic flow patterns, Am. J. Math. 70, 856-891 (1948).
A. G. Ghaffari, The hodograph method in gas dynamics, Publication No. 83, Fac. Sci., Univ. Teheran, 1950, pp. 80-83.
S. Bergman, Operatorenmethoden in der Gasdynamik, Z. Angew. Math. u. Mech. 32, 33-45 (1952).
P. Henrici, Bergmans Integraloperator erster Art und Riemannsche Funktion, Z. Angew. Math. Phys. 3, 228-232 (1952).
S. Bergman, On solutions of linear partial differential equations of mixed type, Am. J. Math. 74, 444-474 (1952).
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Article copyright:
© Copyright 1955
American Mathematical Society
