Functional Analysis and Its Applications

, Volume 38, Issue 4, pp 309–312

On homogenization of periodic parabolic systems

  • T. A. Suslina
Article

DOI: 10.1007/s10688-005-0010-z

Cite this article as:
Suslina, T.A. Funct Anal Its Appl (2004) 38: 309. doi:10.1007/s10688-005-0010-z

Abstract

We study homogenization in the small period limit for a periodic parabolic Cauchy problem in ℝd and prove that the solutions converge in L2(ℝd) to the solution of the homogenized problem for each t > 0. For the L2(ℝd)-norm of the difference, we obtain an order-sharp estimate uniform with respect to the L2(ℝd)-norm of the initial value.

Key words

periodic parabolic systemCauchy problemhomogenizationeffective medium

Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

  • T. A. Suslina
    • 1
  1. 1.Department of PhysicsSt. Petersburg State UniversityRussia