Research output: Contribution to journal › Article › peer-review
Homogenization of initial boundary value problems for parabolic systems with periodic coefficients. / Meshkova, Y.M.; Suslina, T.A.
In: Applicable Analysis, Vol. 95, No. 8, 2016, p. 1736-1775.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Homogenization of initial boundary value problems for parabolic systems with periodic coefficients
AU - Meshkova, Y.M.
AU - Suslina, T.A.
PY - 2016
Y1 - 2016
N2 - © 2015 Taylor & Francis Let (Formula presented.) be a bounded domain of class (Formula presented.). In the Hilbert space (Formula presented.), we consider matrix elliptic second-order differential operators (Formula presented.) and (Formula presented.) with the Dirichlet or Neumann boundary condition on (Formula presented.), respectively. Here (Formula presented.) is the small parameter. The coefficients of the operators are periodic and depend on (Formula presented.). The behaviour of the operator (Formula presented.), (Formula presented.), for small (Formula presented.) is studied. It is shown that, for fixed (Formula presented.), the operator (Formula presented.) converges in the (Formula presented.)-operator norm to (Formula presented.), as (Formula presented.). Here (Formula presented.) is the effective operator with constant coefficients. For the norm of the difference of the operators (Formula presented.) and (Formula presented.), a sharp order estimate (of order (Formula presented.)) is obtained. Also
AB - © 2015 Taylor & Francis Let (Formula presented.) be a bounded domain of class (Formula presented.). In the Hilbert space (Formula presented.), we consider matrix elliptic second-order differential operators (Formula presented.) and (Formula presented.) with the Dirichlet or Neumann boundary condition on (Formula presented.), respectively. Here (Formula presented.) is the small parameter. The coefficients of the operators are periodic and depend on (Formula presented.). The behaviour of the operator (Formula presented.), (Formula presented.), for small (Formula presented.) is studied. It is shown that, for fixed (Formula presented.), the operator (Formula presented.) converges in the (Formula presented.)-operator norm to (Formula presented.), as (Formula presented.). Here (Formula presented.) is the effective operator with constant coefficients. For the norm of the difference of the operators (Formula presented.) and (Formula presented.), a sharp order estimate (of order (Formula presented.)) is obtained. Also
U2 - 10.1080/00036811.2015.1068300
DO - 10.1080/00036811.2015.1068300
M3 - Article
VL - 95
SP - 1736
EP - 1775
JO - Applicable Analysis
JF - Applicable Analysis
SN - 0003-6811
IS - 8
ER -
ID: 7546714