On homogenization of solutions of the poisson equation in a perforated domain with different types of boundary conditions on different cavities

Applicable Analysis

Volumn 65, Issue 3-4, 1997, Pages 205-223

  Jager W ^a   Oleinik, O A ^a   Shaposhnikova, T A ^a  

^a NONE

Author keywords

Dirichlet problem; Homogenizatioin; Neumann problem; Perforated domains

Indexed keywords

EID: 25944446444     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819708840559     Document Type: Article

References (9)

1. Oleinik, O.A., and Shaposhnikova, T.A., 1997. On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary. Reediconti Lincei: Mathematica e Applicazioni, ser.9, 7 (2)
2. Marchenko, V.A., and Ya, Khruslov E., 1974. Boundary value problems in domains with a fine grained boundary. 7 (2)
3. Bensoussan, A., and Lions, J.L., 1978. Papanicolaou: Asymptotic analysis for periodic structures. 7 (2)
4. Bachvalov, N.S., and Panasenko, G.P., 1984. Homogenization of Processes in Periodic Media.
5. Samches - Palencia, E., 1980. Nonhomogeneous Media and Vibration theory. Lecture Notes in Physics.
6. Oleinik, O.A., Shamaev, A.S., and Yosifian, G.A., 1992. Mathematical problems in elasticity and homogenization.
7. Jikov, V.V., Kozlov, S.M., and Oleinik, O.A., 1994. Homogenization of differential operators and integral functionals.
8. Oleinik, O.A., and Shaposhnikova, T.A., 1995. On the Neumann problem for the Laplace operator in partially perforated domains with the small density of cavities. Rendiconti Lincei; Matematica e Applicazioni, ser.9, 6 (3): 133–142.
9. Oleinik, O.A., Shamaev, A.S., and Yosifian, G.A., 1989. On the limit behavior of the spectrum of a sequence of operators which are defined in different Hilbert spaces. Uspechi Math.Nauk, 44 (3): 157–158.