Geodesic
Homogenization of a nonlinear degenerate parabolic differential equation
Electronic journal of differential equations, Tome 2001 (2001)
In this article, we study the homogenization of the nonlinear degenerate parabolic equation

$ \partial_t b({x /over \varepsilon},u_\varepsilon) - \mathop{\rm div} a({x /over \varepsilon},{t \over \varepsilon}, u_\varepsilon,\nabla u_\varepsilon)=f(x,t), $

with mixed boundary $conditions(Neumann and Dirichlet)$ and obtain the limit equation as $\varepsilon \to 0$. We also prove corrector results to improve the weak convergence of $\nabla u_\varepsilon$ to strong convergence.
Classification : 35B27, 74Q10
Keywords: degenerate parabolic equation, homogenization, two-scale convergence, correctors 
@article{EJDE_2001__2001__a217,
     author = {Nandakumaran,  A. K. and Rajesh,  M.},
     title = {Homogenization of a nonlinear degenerate parabolic differential equation},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {1052.35023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a217/}
}
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AU  - Rajesh,  M.
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Nandakumaran,  A. K.; Rajesh,  M. Homogenization of a nonlinear degenerate parabolic differential equation. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a217/