Abdelfatah Bouziani, Nabil Merazga
Abstract:
In this article, we use the Rothe time-discretization method
to prove the well-posedness of a mixed problem with integral
conditions for a third order semilinear pseudoparabolic equation.
Also we establish the convergence of the method and an error
estimate for a semi-discrete approximation.
Submitted March 7, 2006. Published September 21, 2006.
Math Subject Classifications: 35K70, 35A35, 35B30, 35B45, 35D05.
Key Words: Semilinear pseudoparabolic equation; time-discretization method;
integral condition; a priori estimate;
generalized solution.
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Abdelfatah Bouziani Département de Mathématiques Centre Universitaire Larbi Ben M'hidi Oum El Bouaghi 04000, Algeria e-mail: af_bouziani@hotmail.com |
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Nabil Merazga Département de Mathématiques Centre Universitaire Larbi Ben M'hidi Oum El Bouaghi 04000, Algeria email: nabilmerazga@yahoo.fr |
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