On solvability of perturbed Sobolev type equations

DOI10.1090/S1061-0022-09-01065-6zbMath1206.34080OpenAlexW2032854749MaRDI QIDQ3079267

O. A. Ruzakova, Vladimir Evgenyevich Fedorov

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-09-01065-6

zbMATH Keywords

perturbation theoryCauchy problemsemigroupSobolev type equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Evolution inclusions (34G25) Linear differential equations in abstract spaces (34G10) Initial value problems for linear higher-order PDEs (35G10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonlinear evolution equations (47J35)

Related Items (8)

On the local existence of solutions of equations with memory not solvable with respect to the time derivative ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Degenerate k-regularized (C1, C2)-existence and uniqueness families ⋮ On control of degenerate distributed systems ⋮ Linear equations of the Sobolev type with integral delay operator ⋮ On a time nonlocal problem for inhomogeneous evolution equations ⋮ Inhomogeneous degenerate Sobolev type equations with delay ⋮ Solvability of loaded linear evolution equations with a degenerate operator at the derivative

Cites Work

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• Regular perturbations of a class of Sobolev type linear equations
• Linear Sobolev type equations and degenerate semigroups of operators
• Holomorphic solution semigroups for Sobolev-type equations in locally convex spaces
• An inverse problem for linear Sobolev type equations
• Existence and Representation Theorems for a Semilinear Sobolev Equation in Banach Space
• Perturbation Theory for Semi-Groups of Linear Operators

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