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Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions
Advances in Difference Equations volume 2004, Article number: 932415 (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.
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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