Skip to main content

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Abdelfatah Bouziani.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Bouziani, A., Merazga, N. Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions. Adv Differ Equ 2004, 932415 (2004). https://doi.org/10.1155/S1687183904401071

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1155/S1687183904401071