Gamma-convergence of quadratic functionals perturbed by bounded linear functionals

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dc.contributor.areamathematicsen_US
dc.contributor.authorDal Maso, Gianni
dc.contributor.authorDonati, Davide
dc.date.accessioned2022-12-29T10:25:48Z
dc.date.available2022-12-29T10:25:48Z
dc.date.issued2022-12-14
dc.descriptionPreprin SISSA 20/2022/MATEen_US
dc.description.abstractWe 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 H􀀀1(), 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.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35455
dc.language.isoenen_US
dc.subjectElliptic equationsen_US
dc.subjectG-convergenceen_US
dc.subjectH-convergenceen_US
dc.subject􀀀�-convergenceen_US
dc.titleGamma-convergence of quadratic functionals perturbed by bounded linear functionalsen_US
dc.typePreprinten_US
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