Solution to a transmission problem for quasilinear pseudoparabolic equations by the Rothe method
A. Bouziani, Centre Universitaire Larbi Ben M'hidi, Oum El Bouaghi, Algeria E. J. Qualitative Theory of Diff. Equ., No. 14. (2007), pp. 1-27.
N. Merazga, Centre Universitaire Larbi Ben M'hidi, Oum El Bouaghi, Algeria
| Communicated by M. Benchohra. | Received on 2006-10-10 Appeared on 2007-07-25 |
Abstract: In this paper, we deal with a transmission problem for a class of quasilinear pseudoparabolic equations. Existence, uniqueness and continuous dependence of the solution upon the data are obtained via the Rothe method. Moreover, the convergence of the method and an error estimate of the approximations are established.
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