Homogenization of parabolic and elliptic periodic operators in \(L_2(\mathbb R^d)\) with the first and second correctors taken into account (Q2849053)
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scientific article; zbMATH DE number 6208262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homogenization of parabolic and elliptic periodic operators in \(L_2(\mathbb R^d)\) with the first and second correctors taken into account |
scientific article; zbMATH DE number 6208262 |
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16 September 2013
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effective operator
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operator-theoretical approach
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Homogenization of parabolic and elliptic periodic operators in \(L_2(\mathbb R^d)\) with the first and second correctors taken into account (English)
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The authors employ the operator-theoretical-approach to homogenization to treat parabolic and elliptic equation in the space \(L^2(\mathbb{R}^d)\). For the limit case \(\epsilon\to 0\), they investigate the behavior of the operator exponential \(e^{-\mathcal{A}_\epsilon\tau}\), \(\tau>0\) and of the resolvent \((\mathcal{A}_\epsilon+I)^{-1}\). First and second order correctors are pointed out.
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