Perturbation Results for Multivalued Linear Operators

DOI10.1007/978-3-0348-0075-4_7zbMath1264.47005OpenAlexW95004236MaRDI QIDQ2909926

R. W. Cross, Yakov Yakubov, Angelo Favini

Publication date: 7 September 2012

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0075-4_7

zbMATH Keywords

resolventperturbationselectionparabolic equationelliptic-parabolic equationdegenerate equationmultivalued linear operatorsmodified resolvent

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Perturbation theory of linear operators (47A55) Initial value problems for higher-order parabolic equations (35K30) Linear relations (multivalued linear operators) (47A06) Initial-boundary value problems for PDEs of mixed type (35M13)

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Left- and right-Atkinson linear relation matrices ⋮ Relatively bounded perturbations of a closed linear relation and its adjoint ⋮ The \(\varepsilon \)-pseudospectra and the essential \(\varepsilon \)-pseudospectra of linear relations ⋮ Drazin inverse of multivalued operators and its applications ⋮ Essential spectra of upper triangular relation matrices ⋮ Relationships between perturbations of a linear relation and its operator part ⋮ Characterizations of inessential linear relations ⋮ Inverse problems for singular differential-operator equations with higher order polar singularities ⋮ Some results on semi-Fredholm perturbations of multivalued linear operators ⋮ Dissipative extension theory for linear relations ⋮ Quasi-Fredholm linear relations in Hilbert spaces ⋮ Quasi-Fredholm and semi-B-Fredholm linear relations ⋮ On a rational function in a linear relation ⋮ Essential spectra of self-adjoint relations under relatively compact perturbations ⋮ Generalized Kato linear relations ⋮ Gap formulas for closed linear relations

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