On homogenization of periodic parabolic systems

Author： Suslina T.  

Publisher： Springer Publishing Company

ISSN： 0016-2663

Source： Functional Analysis and Its Applications, Vol.38, Iss.4, 2004-10, pp. : 309-312

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Abstract

We study homogenization in the small period limit for a periodic parabolic Cauchy problem in ℜd and prove that the solutions converge in L 2(ℜ d) to the solution of the homogenized problem for each t > 0. For the L 2 (ℜ d)-norm of the difference, we obtain an order-sharp estimate uniform with respect to the L 2 (ℜ d)-norm of the initial value.

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