A second order semi linear elliptic (parabolic) equation whose lower term has power-like growth at infinity with respect to the unknown function is considered. It is proved that a sequence of solutions in the perforated domains (cylinders) converges to a solution in the non-perforated domain (cylinder) as the diameters of the rejected balls (in parabolic metric) converge to zero with a rate depending on the power exponent of the lower term.
Homogenization of Semilinear Elliptic and Parabolic Operators in Perforated Domains
Giorgio NordoSecondo
Membro del Collaboration Group
2019-01-01
Abstract
A second order semi linear elliptic (parabolic) equation whose lower term has power-like growth at infinity with respect to the unknown function is considered. It is proved that a sequence of solutions in the perforated domains (cylinders) converges to a solution in the non-perforated domain (cylinder) as the diameters of the rejected balls (in parabolic metric) converge to zero with a rate depending on the power exponent of the lower term.File in questo prodotto:
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Descrizione: Homogenization of Semi-linear Elliptic and Parabolic Operators in Perforated Domains
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