Compactness of Fixed Point Maps and the Ball-Marsden-Slemrod Conjecture

DOI10.1137/21M1461848OpenAlexW3216766865WikidataQ123198341 ScholiaQ123198341MaRDI QIDQ5889014

Gunther Dirr

Publication date: 26 April 2023

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.10460

zbMATH Keywords

compact operatorsBall-Marsden-Slemrod conjecturecompactness of fixed point mapscontrollability of bilinear/semilinear systemsreachable/attainable sets

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Fixed-point theorems (47H10) Control/observation systems in abstract spaces (93C25) Nonlinear evolution equations (47J35)

Cites Work

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• Local controllability and non-controllability for a 1D wave equation with bilinear control
• Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems
• Semigroups of linear operators and applications to partial differential equations
• On the lack of exact controllability for mild solutions in Banach spaces
• On the bilinear control of the Gross-Pitaevskii equation
• A remark on the attainable set of the Schrödinger equation
• Regular propagators of bilinear quantum systems
• Vector-valued Laplace Transforms and Cauchy Problems
• Controllability for Distributed Bilinear Systems
• Spaces of operators between Fréchet spaces
• A Topological Obstruction to the Controllability of Nonlinear Wave Equations with Bilinear Control Term

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