Robustness of global attractors: abstract framework and application to dissipative wave equations

DOI10.3934/eect.2021054zbMath1498.35097OpenAlexW3207002422MaRDI QIDQ2089091

Sergey N. Dashkovskiy, Oleksiy V. Kapustyan

Publication date: 6 October 2022

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2021054

zbMATH Keywords

global attractornonlinear wave equationinput-to-state stabilityinfinite-dimensional systemasymptotic gain

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Robust stability (93D09) Abstract hyperbolic equations (35L90) Second-order semilinear hyperbolic equations (35L71)

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