Finite-difference operators in the study of differential operators: Solution estimates
Anatoly Grigorievich Baskakov, Yu. N. Sintyaev · Differential Equations · 2010
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.