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The Cauchy problem and the mixed boundary value problem for a non-linear hyperbolic partial differential equation in two independent variables. (English) Zbl 0093.31203


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[1] Leehey, P.: On the existence of not necessarily unique solutions of a classical hyperbolic boundary value problem for non-linear second order partial differential equations in two independent variables. Ph. D. thesis, Brown University, June 1950.
[2] Hartman, P., & A. Wintner: On hyperbolic partial differential equations. Amer. J. Math. 74, 834-864 (1952). · Zbl 0048.33302
[3] Diaz, J. B.: On an analogue of the Euler-Cauchy polygon method for the numerical solution of u xy = F(x, y, u, ux, uy). Arch. Rational Mech. Anal. 1, No. 4, 357-390 (1958). · Zbl 0084.11501
[4] Jordan, C.: Cours d’Analyse, 3rd edit., vol. 3, pp. 369-371. 1915.
[5] Picard, E.: Le?ons sur quelques types simples d’?quations aux d?riv?es partielles avec des applications ? la physique mathematique.
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