## Approximated solutions of equations with $$L^ 1$$ data. Application to the $$H$$-convergence of quasilinear parabolic equations.(English)Zbl 0869.35050

The author proves some results on elliptic and parabolic nonlinear equations with $$L^1$$ data, which concern mainly the uniqueness of the solution. The results are then applied to the theory of $$H$$-convergence of parabolic quasilinear equations with quadratic or subquadratic nonlinearities with respect to the gradient.
Reviewer: M.Biroli (Monza)

### MSC:

 35K55 Nonlinear parabolic equations 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure 35R05 PDEs with low regular coefficients and/or low regular data