Finite-difference operators in the study of differential operators: Solution estimates |
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| Authors: | A G Baskakov Yu N Sintyaev |
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| Institution: | 1.Voronezh State University,Voronezh,Russia |
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| Abstract: | The main results of the present paper are related to the use of finite-difference operators for estimating the norms of inverses
of differential operators with unbounded operator coefficients. We obtain a new proof of the Gearhart-Prüss spectral mapping
theorem for operator semigroups in a Hilbert space and estimate the exponential dichotomy exponents of an operator semigroup. |
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