Skip to main content


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

Article metrics

  • 881 Accesses

  • 2 Citations


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.

Author information

Correspondence to Abdelfatah Bouziani.

Rights and permissions

Reprints and Permissions

About this article