Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation
Merazga, Nabil ; Bouziani, Abdelfatah
Abstr. Appl. Anal., Tome 2003 (2003) no. 7, p. 899-922 / Harvested from Project Euclid
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This paper deals with an initial boundary value problem with an integral condition for the two-dimensional diffusion equation. Thanks to an appropriate transformation, the study of the given problem is reduced to that of a one-dimensional problem. Existence, uniqueness, and continuous dependence upon data of a weak solution of this latter are proved by means of the Rothe method. Besides, convergence and an error estimate for a semidiscrete approximation are obtained.
Publié le : 2003-09-07
Classification:  35K05,  35K20,  35B30,  35B45,  35D05 
@article{1063629068,
     author = {Merazga, Nabil and Bouziani, Abdelfatah},
     title = {Rothe method for a mixed problem with an integral condition for
the two-dimensional diffusion equation},
     journal = {Abstr. Appl. Anal.},
     volume = {2003},
     number = {7},
     year = {2003},
     pages = { 899-922},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1063629068}
}

Merazga, Nabil; Bouziani, Abdelfatah. Rothe method for a mixed problem with an integral condition for
the two-dimensional diffusion equation. Abstr. Appl. Anal., Tome 2003 (2003) no. 7, pp.  899-922. http://gdmltest.u-ga.fr/item/1063629068/