On homogenization of periodic parabolic systems
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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 wordsperiodic parabolic system Cauchy problem homogenization effective medium
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