A boundary value problem for an equation of mixed type
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- Trans. Amer. Math. Soc. 71 (1951), 416-429 Request permission
References
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L. Bers, The Dirichlet problem for a partial differential equation of mixed type, Bull. Amer. Math. Soc. Abstract 54-11-504.
- Lipman Bers, On the continuation of a potential gas flow across the sonic line, Tech. Notes Nat. Adv. Comm. Aeronaut. 1950 (1950), no. 2058, 58. MR 0036121 M. Cibrario, Sui teoremi di existenza e di unicita relativi ad alcune equazioni differenziali a derivate parziali, Rendiconti di R. Accademia dei Lincei (6) vol. 13 (1931). G. Darboux, Leçons sur la théorie générale des surfaces, vol. 2, Paris, 1889. F. I. Frankl, On the Cauchy problem for equations of mixed elliptic-hyperbolic type with initial data on the parabolic line, Bull. Acad. Sci. URSS. vol. 8 (1944). S. Gellerstedt, Quelques problèmes mixtes pour l’équation ${y^m}{z_{xx}} + {z_{yy}} = 0$, Arkiv för Matematik Astronomie och Fysik vol. 26 (1937). (References to Gellerstedt’s previous papers are given here.)
- Paul Germain and Roger Bader, Sur quelques problèmes aux limites, singuliers, pour une équation hyperbolique, C. R. Acad. Sci. Paris 231 (1950), 268–270 (French). MR 49454 F. Tricomi, Suite equazioni lineari alle derivate parziali di 2$^\circ$ ordine, di tipo misto, Atti della Accademia Nazionali dei Lincei (5) vol. 14 (1923).
Additional Information
- © Copyright 1951 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 71 (1951), 416-429
- MSC: Primary 36.0X
- DOI: https://doi.org/10.1090/S0002-9947-1951-0050132-9
- MathSciNet review: 0050132