The cauchy problem and the mixed boundary value problem for a non-linear hyperbolic partial differential equation in two independent variables-Reference-Cited by-同舟云学术

The cauchy problem and the mixed boundary value problem for a non-linear hyperbolic partial differential equation in two independent variables

Published:1959-01 Issue:1 Volume:3 Page:355-380
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch. Rational Mech. Anal.

Author:

Conlan James

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/article/10.1007/BF00284187/fulltext.html

Reference5 articles.

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).

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).

4. Jordan, C.: Cours d'Analyse, 3rd edit., vol. 3, pp. 369–371. 1915.

5. Picard, E.: Leçons sur quelques types simples d'équations aux dérivées partielles avec des applications à la physique mathematique.

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