Open Access

Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions

Advances in Difference Equations20042004:932415

Received: 27 January 2004

Published: 12 July 2004


This paper presents a well-posedness result for an initial-boundary value problem with only integral conditions over the spatial domain for a one-dimensional quasilinear wave equation. The solution and some of its properties are obtained by means of a suitable application of the Rothe time-discretization method.

Authors’ Affiliations

Département de Mathématiques, Centre Universitaire Larbi Ben M'hidi


© Bouziani and Merazga 2004