On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
Oleinik, Olga A. ; Shaposhnikova, Tatiana A.
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 7 (1996), p. 129-146 / Harvested from Biblioteca Digitale Italiana di Matematica
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In this paper we study the behavior of solutions of the boundary value problem for the Poisson equation in a partially perforated domain with arbitrary density of cavities and mixed type conditions on their boundary. The corresponding spectral problem is also considered. A short communication of similar results can be found in [1].

In questa Nota viene studiato il comportamento delle soluzioni del problema ai limiti per l'equazione di Poisson in un dominio parzialmente perforato con arbitrarie densità delle cavità e condizioni di tipo misto sul loro contorno. Viene anche considerato il corrispondente problema spettrale. Una breve comunicazione di simili risultati si trova in [1].

Publié le : 1996-12-01
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     author = {Olga A. Oleinik and Tatiana A. Shaposhnikova},
     title = {On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {7},
     year = {1996},
     pages = {129-146},
     zbl = {0878.35011},
     mrnumber = {1454408},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1996_9_7_3_129_0}
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Oleinik, Olga A.; Shaposhnikova, Tatiana A. On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 7 (1996) pp. 129-146. http://gdmltest.u-ga.fr/item/RLIN_1996_9_7_3_129_0/

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