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Fox, David W.; Pucci, Carlo

The Dirichlet problem for the wave equation. (English) Zbl 0101.31001

Ann. Mat. Pura Appl., IV. Ser. 46, 155-182 (1958).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 30 Documents

Keywords:

partial differential equations; potential theory
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References:

[1] Hadamard, J., On Some Topics Connected with Linear Partial Differential Equations, Benares Mathematical Society, 3, 39-48 (1921) · JFM 48.0574.03
[2] Hadamard, J., Equations aux Derivees Partielles, L’Enseignment Mathematique, 35, 5-42 (1936) · JFM 62.0565.11
[3] Huber, A., Die Erste Randrvertaufgabe fuer geschlossene Bereiche bei der Gleichung u_xy=f(x, y), Monatshefte fuer Mathematik und Physik, 39, 79-100 (1932) · JFM 58.0522.01 · doi:10.1007/BF01699054
[4] Bourgin, D. G.; Duffin, R., The Dirichlet problem for the Vibrating String Equation, Bull. Am. Math. Soc., 45, 851-858 (1935) · JFM 65.0438.01 · doi:10.1090/S0002-9904-1939-07103-6
[5] D. G. Bourgin,The Dirichlet Problem for the Damped Wave Equation, « Duke Math. Journal », Vol. 7, (1940).
[6] Owens, O. G., Homogeneous Dirichlet Problem for Inhomogeneous Ultrahyperbolic Equation, Am. Journal Math., 74, 307-316 (1952) · Zbl 0048.33301
[7] C. Pucci,Studio col metodo delle differenze di un problema di Cauchy relativo ad equazioni parziali di tipo parabolico, « Annali Scuola Normale Sup. di Pisa », (1953). · Zbl 0053.06803
[8] Pucci, C., Sui problemi di Cauchy non ben posti, Rend. Acc. Naz. Lincei, 8, 18, 473-477 (1955) · Zbl 0065.07805
[9] C. Pucci,Discussione del problema di Cauchy per le equazioni a derivate parziali di tipo ellittico, « Annali di Mat. pura Appl. », (1958). · Zbl 0092.10001
[10] John, F., A note on « improper » problems in partial differential equations, Comm. Pure Applied Math., 8, 591-594 (1955) · Zbl 0065.33501
[11] F. John,Differential equation with approximate and improper data, Lectures, New York University, (1954-55).
[12] Lavrentiev, M. M., On the Cauchy problem for the Laplace equation, Isvestia Akad. Nauk USSR, 20, 819-842 (1956) · Zbl 0074.09004
[13] Norlund, N. E., Memoire sur les polynomes de Bernoulli, Acta Math., 43, 121-196 (1922) · JFM 47.0216.05 · doi:10.1007/BF02401755
[14] Sansone, G., Moderna teoria delle funzioni di variabile reale (1946), Bologna: Zanichelli, Bologna · Zbl 0061.09603
[15] Koksma, J. F., Diophantische Approximationen (1936), Berlin: Springer, Berlin · JFM 62.0173.01
[16] Borel, E., Leçons sur la Théorie des Fonctions (1928), Paris: Gauthier-Villars, Paris · JFM 54.0327.02
[17] Schneider, Th., Einfuehrung in die Transzendenten Zahlen (1957), Berlin: Springer, Berlin · Zbl 0077.04703
[18] Picone, M., Appunti di Analisi Superiore (1940), Napoli: Rondinella, Napoli · Zbl 0024.02302
[19] A. Zygmund,Trigonometrical Series. « Monografje Matematyczne », Vol. 5, Warszawa-Lwow, 1935. · Zbl 0011.01703
[20] Perron, O., Irrationalzahlen (1948), New York: Chelsea, New York
[21] Hadamard, J., Lectures on Cauchy’s problem (1923), New Haven: Yale University Press, New Haven · JFM 49.0725.04
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