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\(G\)-convergence of parabolic operators and weak convergence of solutions of diffusion equations - MaRDI portal

\(G\)-convergence of parabolic operators and weak convergence of solutions of diffusion equations (Q1921744)

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scientific article; zbMATH DE number 923083
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\(G\)-convergence of parabolic operators and weak convergence of solutions of diffusion equations
scientific article; zbMATH DE number 923083

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    \(G\)-convergence of parabolic operators and weak convergence of solutions of diffusion equations (English)
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    26 August 1997
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    This paper deals with \(G\)-convergence of parabolic operators of nondivergence form. Under certain restrictions placed on the class of admissible \(G\)-limiting operators, the relationship between the \(G\)-convergence of these operators and the weak convergence of solutions of corresponding diffusion equations is established. Results concerning the limit behaviour of these solutions enable one to work out practical methods for constructing \(G\)-limiting operators.
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    weak convergence
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    \(G\)-limiting operators
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