A perturbation theorem for abstract linear non-autonomous systems with an application to a mixed hyperbolic problem

zbMath1502.34070MaRDI QIDQ2196583

Davide Guidetti

Publication date: 3 September 2020

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1594692075

zbMATH Keywords

Banach spacelinear differential equationevolution family of operatorsMiyadera type perturbation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Perturbations of ordinary differential equations (34D10) Linear differential equations in abstract spaces (34G10) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Unnamed Item
• Degenerate flux for dynamic boundary conditions in parabolic and hyperbolic equations
• Parabolic problems with general Wentzell boundary conditions and diffusion on the boundary
• Non homogeneous boundary value problems for second order hyperbolic operators
• A perturbation theorem for evolution equations and some applications
• Continuous dependence in hyperbolic problems with Wentzell boundary conditions
• Derivation and physical interpretation of general boundary conditions
• Gaussian bounds for propagators perturbed by potentials
• On perturbation theory for semi-groups of operators
• One-Parameter Semigroups for Linear Evolution Equations
• Non-autonomous Miyadera perturbations

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