T-coercivity for the homogenization of sign-changing coefficients scalar problems with extreme contrasts

Renata Bunoiu (1) , Karim Ramdani (2, 1) , Claudia Timofte (3)

1 IECL - Institut Élie Cartan de Lorraine
2 SPHINX - Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization
3 Faculty of Physics [Bucarest]

We study the homogenization of a diffusion-type problem, for sign-changing conductivities with extreme contrasts. The weak limit, which is proved to be the same as in the elliptic case of positive conductivities, has an explicit dependence on the conductivities.

Mots clés: Homogenization; T-coercivity; Sign-changing coefficients

Domaines: Equations aux dérivées partielles [math.AP]

Renata Bunoiu, Karim Ramdani, Claudia Timofte. T-coercivity for the homogenization of sign-changing coefficients scalar problems with extreme contrasts. Mathematical Reports, In press, Marius Tucsnak 60th Anniversary Volume, 24(74) (1-2). ⟨hal-03481978v2⟩