Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence
Emmanuel Kwame EsselCape Coast, GhanaKomil KulievDepartment of Mathematics and Statistics, University of Cape Coast, Cape Coast, GhanaGulchehra KulievaDepartment of Mathematics, University of West Bohemia, Univerzitní 22, 306 14, Pilsen, Czech RepublicLars‐Erik PerssonDepartment of Mathematics, Luleå University of Technology, SE-971 87, Luleå, Sweden
2010en
ABI
Аннотация
We consider a quasilinear parabolic problem with time dependent coefficients oscillating rapidly in the space variable. The existence and uniqueness results are proved by using Rothe’s method combined with the technique of two-scale convergence. Moreover, we derive a concrete homogenization algorithm for giving a unique and computable approximation of the solution.
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