Estimates for the embedding operator of a sobolev space of periodic functions and for the solutions of differential equations with periodic coefficients |
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Authors: | A. G. Baskakov K. S. Kobychev |
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Affiliation: | 1.Voronezh State University,Voronezh,Russia |
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Abstract: | We obtain estimates for the embedding operator of a Sobolev space in the space of continuous periodic functions and use them to estimate the solutions of differential equations with periodic coefficients. We prove a theorem on a necessary and sufficient condition for the invertibility of a differential operator with unbounded operator coefficients. |
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