Publication Cover
Applicable Analysis
An International Journal
Volume 65, 1997 - Issue 3-4
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Original Articles

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

Pages 205-223 | Received 01 Nov 1996, Published online: 02 May 2007

References

  • 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 )
  • Marchenko , V.A. and Ya , Khruslov E. 1974 . Boundary value problems in domains with a fine grained boundary . 7 ( 2 )
  • Bensoussan , A. and Lions , J.L. 1978 . Papanicolaou: Asymptotic analysis for periodic structures . 7 ( 2 )
  • Bachvalov , N.S. and Panasenko , G.P. 1984 . Homogenization of Processes in Periodic Media .
  • Samches - Palencia , E. 1980 . Nonhomogeneous Media and Vibration theory . Lecture Notes in Physics ,
  • Oleinik , O.A. , Shamaev , A.S. and Yosifian , G.A. 1992 . Mathematical problems in elasticity and homogenization .
  • Jikov , V.V. , Kozlov , S.M. and Oleinik , O.A. 1994 . Homogenization of differential operators and integral functionals .
  • 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 .
  • 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 .

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