Volume 5, Issue 3, August 1998, Pages 331 - 348
Some Homogenization and Corrector Results for Nonlinear Monotone Operators
Available Online 1 August 1998.
- https://doi.org/10.2991/jnmp.19188.8.131.52How to use a DOI?
- This paper deals with the limit behaviour of the solutions of quasi-linear equations of the form - div (a (x, x/h, Duh)) = fh on with Dirichlet boundary conditions. The sequence (h) tends to 0 and the map a(x, y, ) is periodic in y, monotone in and satisfies suitable continuity conditions. It is proved that uh u weakly in H1,2 0 (), where u is the solution of a homogenized problem - div(b(x, Du)) = f on . We also prove some corrector results, i.e. we find (Ph) such that Duh - Ph(Du) 0 in L2 (, Rn ).
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Cite this article
TY - JOUR AU - Peter WALL PY - 1998 DA - 1998/08 TI - Some Homogenization and Corrector Results for Nonlinear Monotone Operators JO - Journal of Nonlinear Mathematical Physics SP - 331 EP - 348 VL - 5 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.19184.108.40.206 DO - https://doi.org/10.2991/jnmp.19220.127.116.11 ID - WALL1998 ER -