Geodesic
Approximation of the Exponential of a Diffusion Operator with Multiscale Coefficients
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 3, pp. 34-51

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A multiscale homogenization estimate for a parabolic diffusion equation under minimal regularity conditions is proved. This makes it possible to treat the result as an estimate in the operator norm for the difference of the operator exponentials of the initial and homogenized equations.
Keywords: homogenization, operator-type estimates, locally periodic and multiscale coefficients, shift parameters. 
@article{FAA_2014_48_3_a3,
     author = {S. E. Pastukhova},
     title = {Approximation of the {Exponential} of a {Diffusion} {Operator} with {Multiscale} {Coefficients}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {34--51},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2014_48_3_a3/}
}
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S. E. Pastukhova. Approximation of the Exponential of a Diffusion Operator with Multiscale Coefficients. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 3, pp. 34-51. http://geodesic.mathdoc.fr/item/FAA_2014_48_3_a3/