The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (1747 KB) | Metadata | Table of Contents | ZAA summary
Volume 5, Issue 3, 1986, pp. 193–221
DOI: 10.4171/ZAA/194

Published online: 1986-06-30

Existenz- und Eindeutigkeitsbeweis zur Lösung des Goursat-Problems für quasilineare hyperbolische Systeme erster Ordnung mittels Differenzenverfahren

H.-P. Gittel[1]

(1) Universität Leipzig, Germany

This paper continues the author’s investigations [8] on the mixed problem for quasi-linear hyperbolic systems of the first order. For a special Goursat problem to which the general problem was reduced the solvability in the class of Lipschitz continuous functions is proved by means of a suitable difference method. Thereby we obain "continuable initial conditions". Moreover, using an a priori estimate for a certain linear problem we can show the uniqueness of the solution of the original problem and its continuous dependence on parameters.

No keywords available for this article.

Gittel H.-P.: Existenz- und Eindeutigkeitsbeweis zur Lösung des Goursat-Problems für quasilineare hyperbolische Systeme erster Ordnung mittels Differenzenverfahren. Z. Anal. Anwend. 5 (1986), 193-221. doi: 10.4171/ZAA/194