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- W2920176905 abstract "We will study the convergence rates of solutions for homogenization of the mixed boundary value problems. By utilizing the smoothing operator as well as duality argument, we deal with the mixed boundary conditions in a uniform fashion. As a consequence, we establish the sharp rate of convergence in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>, with no smoothness assumption on the coefficients." @default.
- W2920176905 created "2019-03-11" @default.
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- W2920176905 date "2019-03-05" @default.
- W2920176905 modified "2023-10-13" @default.
- W2920176905 title "Convergence Rates in Homogenization of the Mixed Boundary Value Problems" @default.
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- W2920176905 doi "https://doi.org/10.1155/2019/2680657" @default.
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