On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
Olga A. Oleinik; Tatiana A. Shaposhnikova
- Volume: 7, Issue: 3, page 129-146
- ISSN: 1120-6330
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topOleinik, Olga A., and 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 7.3 (1996): 129-146. <http://eudml.org/doc/244232>.
@article{Oleinik1996,
abstract = {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].},
author = {Oleinik, Olga A., Shaposhnikova, Tatiana A.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Homogenization; Poisson equation; Perforated domains; Mixed type conditions; Spectral problem; spectrum of a sequence of singular perturbed operators},
language = {eng},
month = {12},
number = {3},
pages = {129-146},
publisher = {Accademia Nazionale dei Lincei},
title = {On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary},
url = {http://eudml.org/doc/244232},
volume = {7},
year = {1996},
}
TY - JOUR
AU - Oleinik, Olga A.
AU - Shaposhnikova, Tatiana A.
TI - On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1996/12//
PB - Accademia Nazionale dei Lincei
VL - 7
IS - 3
SP - 129
EP - 146
AB - 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].
LA - eng
KW - Homogenization; Poisson equation; Perforated domains; Mixed type conditions; Spectral problem; spectrum of a sequence of singular perturbed operators
UR - http://eudml.org/doc/244232
ER -
References
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