Geodesic
Homogenization of Semilinear Parabolic Operators in a Perforated Cylinder
Matematičeskie zametki, Tome 78 (2005) no. 3, pp. 396-408

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we consider a semilinear parabolic equation of second order with lower term a power function of the unknown function and prove that the sequence of solutions in a perforated cylinder tends to a solution in a unperforated cylinder if the radii of rejected balls in the parabolic metric tend to zero at the rate depending on the exponent of the power function in the lower term. 
@article{MZM_2005_78_3_a6,
     author = {H. Matevossian and I. V. Filimonova},
     title = {Homogenization of {Semilinear} {Parabolic} {Operators} in a {Perforated} {Cylinder}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {396--408},
     publisher = {mathdoc},
     volume = {78},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_78_3_a6/}
}
TY  - JOUR
AU  - H. Matevossian
AU  - I. V. Filimonova
TI  - Homogenization of Semilinear Parabolic Operators in a Perforated Cylinder
JO  - Matematičeskie zametki
PY  - 2005
SP  - 396
EP  - 408
VL  - 78
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2005_78_3_a6/
LA  - ru
ID  - MZM_2005_78_3_a6
ER  - 
%0 Journal Article
%A H. Matevossian
%A I. V. Filimonova
%T Homogenization of Semilinear Parabolic Operators in a Perforated Cylinder
%J Matematičeskie zametki
%D 2005
%P 396-408
%V 78
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2005_78_3_a6/
%G ru
%F MZM_2005_78_3_a6
H. Matevossian; I. V. Filimonova. Homogenization of Semilinear Parabolic Operators in a Perforated Cylinder. Matematičeskie zametki, Tome 78 (2005) no. 3, pp. 396-408. http://geodesic.mathdoc.fr/item/MZM_2005_78_3_a6/