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Homogenization of degenerate elliptic-parabolic equations. (English) Zbl 1052.35025
The author gives a result of $$G$$-convergence for a class of strongly degenerate parabolic equations in the case of periodic coefficients. The quadratic form associated with the operator is degenerating as a Muckenhoupt weight and the coefficient of the temporal derivative is greater than or equal to zero and then the operator may be elliptic, parabolic or elliptic-parabolic.

##### MSC:
 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure 35K20 Initial-boundary value problems for second-order parabolic equations 35K65 Degenerate parabolic equations 35M10 PDEs of mixed type
##### Keywords:
periodic coefficients; Muckenhoupt weight