Suslina, T.A. Funct Anal Its Appl (2004) 38: 309. doi:10.1007/s10688-005-0010-z
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.
periodic parabolic systemCauchy problemhomogenizationeffective medium