Some remarks on the convergence of solutions to elliptic equations under weak hypotheses on the data

Dal Maso, Gianni; Donati, Davide

dc.contributor.author	Dal Maso, Gianni
dc.contributor.author	Donati, Davide
dc.date.accessioned	2022-12-29T10:25:48Z
dc.date.available	2022-12-29T10:25:48Z
dc.date.issued	2022-12-14
dc.identifier.uri	http://preprints.sissa.it:8080/xmlui/handle/1963/35455
dc.description	Preprin SISSA 20/2022/MATE	en_US
dc.description.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 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.language.iso	en	en_US
dc.subject	Elliptic equations	en_US
dc.subject	G-convergence	en_US
dc.subject	H-convergence	en_US
dc.subject	􀀀�-convergence	en_US
dc.title	Some remarks on the convergence of solutions to elliptic equations under weak hypotheses on the data	en_US
dc.type	Preprint	en_US
dc.contributor.area	mathematics	en_US