Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions
© Bouziani and Merazga 2004
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.