Perturbation of analytic semigroups and applications to partial differential equations

DOI10.1007/s00028-016-0377-8OpenAlexW2248899910MaRDI QIDQ681301

Miriam Bombieri, Klaus-Jochen Engel, Martin Adler

Publication date: 30 January 2018

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01336

zbMATH Keywords

generatorperturbationanalytic semigroupfractional powerFavard space

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Perturbation theory of linear operators (47A55) Linear differential equations in abstract spaces (34G10)

Related Items (10)

Spectral theory for structured perturbations of linear operators ⋮ Flows on metric graphs with general boundary conditions ⋮ Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ Exact and positive controllability of boundary control systems ⋮ Boundary perturbation of \(m\)-dissipative operators ⋮ Some modifications of the Weiss-Staffans perturbation theorem ⋮ On the maximal regularity for perturbed autonomous and non-autonomous evolution equations ⋮ Comparison of direct and perturbation approaches to analysis of infinite-dimensional feedback control systems ⋮ Densities for piecewise deterministic Markov processes with boundary ⋮ Positive semigroups and perturbations of boundary conditions

Cites Work

• Unbounded perturbations of the generator domain
• Towards a ``Matrix theory for unbounded operator matrices
• Ventcel's boundary conditions and analytic semigroups
• Regular linear systems with feedback
• A semigroup approach to boundary feedback systems
• On perturbations of generators of \(C_0\)-semigroups
• Perturbation, interpolation, and maximal regularity
• Analyticity of semigroups generated by operators with generalized Wentzell boundary conditions
• Robustness of Fredholm properties of parabolic evolution equations under boundary perturbations
• One-Parameter Semigroups for Linear Evolution Equations
• An Introduction to Partial Differential Equations
• Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
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