On the identities of analytic semigroups of operators with kernels

DOI10.1007/BF02673910zbMath0908.47036OpenAlexW2029008352MaRDI QIDQ1271998

Vladimir Evgenyevich Fedorov, Georgiĭ Anatol'evich Sviridyuk

Publication date: 22 November 1998

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

Full work available at URL: https://doi.org/10.1007/bf02673910

zbMATH Keywords

evolution equationsphase spacesemigroup theoryHille-Yosida theoremoperator differential equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear differential equations in abstract spaces (34G10)

Related Items (8)

On analytical in a sector resolving families of operators for strongly degenerate evolution equations of higher and fractional orders ⋮ Inverse Problem for the Boussinesq – Love Mathematical Model ⋮ An optimality criterion in a control problem for a Sobolev-type linear equation ⋮ Analytic in a Sector Resolving Families of Operators for Degenerate Evolution Fractional Equations ⋮ Solvability of mixed-type optimal control problems for distributed systems ⋮ Applications of the theory of degenerate operator semigroups to initial-boundary-value problems ⋮ On the well-posedness of the prediction-control problem for certain systems of equations ⋮ A method for studying a coupled system of differential equations

Cites Work

• Varieties with a simple countable embeddability skeleton
• Analytic semigroups with kernel and linear equations of Sobolev type
• Asymptotic expansions for a model with distinguished “fast” and “slow” variables, described by a system of singularly perturbed stochastic differential equations
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