Advances in Difference Equations
Volume 2004 (2004), Issue 3, Pages 211-235
doi:10.1155/S1687183904401071

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

Abstract

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.