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Lineare partielle Differentialgleichungen zweiter Ordnung von gemischtem Typus

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Literaturverzeichnis

  1. S. Bergman, On solutions of linear partial differential equations of mixed type. Amer. J. Math.74, 444–474 (1952).

    Google Scholar 

  2. L.Bers, On the continuation of a potential gas flow across the sonic line. N. A. C. A. Technical note No. 2058 (1950).

  3. M.Cibrario, Sui teoremi di existenza e di unicità relativi ad alcune equazioni differenziale a derivate parziali. Rend. di. R. Accad. dei Lincei13, (6) (1931).

  4. J. D. Cole, Note on the fundamental solution ofwy vv + yww=0. Z. angew. Math. Phys.3, 286–297 (1952).

    Google Scholar 

  5. F. J.Frankl, On the Cauchy problem for equations of mixed elliptic-hyperbolic type with initial data on the parabolic line. Bull. Acad. Sci. URSS8 (1944).

  6. S.Gellerstedt, Quelques problèmes mixtes pour l'équationy m zxx + zyy=0. Ark. Math. Astr. Fys.26 (1937).

  7. P. Germain etR. Bader, Sur quelques problèmes aux limites singuliers pour une équation hyperbolique. C. r. Acad. Sci. Paris231, 268 (1950).

    Google Scholar 

  8. G. Hellwig, Anfangs- und Randwertprobleme bei partiellen Differentialgleichungen von wechselndem Typus auf den Rändern. Math. Z.58, 337–357 (1953).

    Google Scholar 

  9. J. Nitsche, Bestimmung der Flächen, deren Bogenelement negativer Krümmung als Quadratsumme zweier Pfaffscher Formen gegeben ist. Arch. der Math.3, 50–59 (1952).

    Google Scholar 

  10. M. H. Protter, A boundary value problem for an equation of mixed type. Trans. Amer. math. Soc.71, 416–429 (1951).

    Google Scholar 

  11. M. H. Protter, Uniqueness theorems for the Tricomi problem. J. of Rat. Mechanics and Analysis2, 107–114 (1953).

    Google Scholar 

  12. F.Tricomi, Sulle equazioni lineari alle derivate parziali di 20 ordine di tipo misto. Atti della Accad. Nazionali dei Lincei14, (5) (1923).

  13. R. Conti, Sul problema di Cauchy per le equazioni di typo mistoy kzxx−xk zyy=0. Ann. Scuola norm. sup. Pisa, Sci. fis. mat., Ser. 3,2, 105–130 (1950).

    Google Scholar 

  14. P. Germain etR. Bader, Sur le problème de Tricomi. Rend. Circ. Mat. Palermo, Ser. 2,2, 53–69 (1953).

    Google Scholar 

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Authors and Affiliations

  1. Berlin-Charlottenburg

    Wolfgang Haack & Günter Hellwig

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  1. Wolfgang Haack
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  2. Günter Hellwig
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Herrn A.Ostrowski in aufrichtiger Verehrung zum 60. Geburtstag gewidmet

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Haack, W., Hellwig, G. Lineare partielle Differentialgleichungen zweiter Ordnung von gemischtem Typus. Arch. Math 5, 60–76 (1954). https://doi.org/10.1007/BF01899319

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