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Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev Space (ℝ)

T. Suslina — 2010

Mathematical Modelling of Natural Phenomena

In (ℝ; ℂ), we consider a wide class of matrix elliptic second order differential operators 𝒜 with rapidly oscillating coefficients (depending on /). For a fixed > 0 and small > 0, we find approximation of the operator exponential exp(− 𝒜 ) in the ( (ℝ; ℂ) → (ℝ; ℂ))-operator norm with an error...

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