×

A boundary value problem for an equation of mixed type. (English) Zbl 0044.09502


MSC:

35M12 Boundary value problems for PDEs of mixed type
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] L. Bers, The Dirichlet problem for a partial differential equation of mixed type, Bull. Amer. Math. Soc. Abstract 54-11-504.
[2] 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. · Zbl 0039.08701
[3] 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). · Zbl 0005.35503
[4] G. Darboux, Leçons sur la théorie générale des surfaces, vol. 2, Paris, 1889. · JFM 19.0746.02
[5] 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). · Zbl 0061.21604
[6] 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.) · Zbl 0017.35202
[7] 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). · Zbl 0038.26001
[8] 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). · JFM 49.0346.01
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.