Gamma-convergence of quadratic functionals perturbed by bounded linear functionals
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Date
2022-12-14
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Abstract
We study the asymptotic behavior of solutions to elliptic equations of the
form (div(Akruk) = fk in ;uk = wk on @;
where Rn is a bounded open set, wk is weakly converging in H1(), fk is weakly
converging in H1(), and Ak is a sequence square matrices satisfying some uniform
ellipticity and boundedness conditions, and H-converging in . In particular, we characterize
the weak limits of the solutions uk and of their momenta Akruk . When Ak is symmetric and wk = w = 0, we characterize the limits of the energies for the solutions.
Description
Preprin SISSA 20/2022/MATE
Keywords
Elliptic equations, G-convergence, H-convergence, �-convergence