Linear differential operators with unbounded operator coefficients and semigroups of bounded operators

DOI10.1007/BF02307207zbMath0891.47027OpenAlexW2002662841MaRDI QIDQ1360816

Anatoly G. Baskakov

Publication date: 12 July 1998

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02307207

zbMATH Keywords

well-posed Cauchy problemlinear differential operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear difference operators (47B39)

Related Items (14)

Linear differential operators and operator matrices of the second order ⋮ Lyapunov transformation of differential operators with unbounded operator coefficients ⋮ On invertibility states of differential and difference operators ⋮ The exponential dichotomy on general approximation scheme ⋮ Second-order linear differential equations in a Banach space and splitting operators ⋮ Solvability conditions for the difference equations with an initial condition in a subspace ⋮ Linear Difference Equation of Second Order in a Banach Space and Operators Splitting ⋮ Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations ⋮ Fredholm differential operators with unbounded coefficients ⋮ Slowly varying at infinity operator semigroups ⋮ Harmonic Analysis of Operator Semigroups Slowly Varying at Infinity ⋮ Invertibility conditions for second-order differential operators in the space of continuous bounded functions ⋮ Spectral analysis of differential operators with unbounded operator coefficients on the half-line ⋮ Spectral analysis of differential operators with unbounded periodic coefficients

Cites Work

• Geometric theory of semilinear parabolic equations
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