Functional Analysis and Its Applications

, Volume 38, Issue 4, pp 309–312 | Cite as

On homogenization of periodic parabolic systems

  • T. A. Suslina
Article

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 system Cauchy problem homogenization effective medium 

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References

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Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

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

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