On an invariant set in the heat conductivity problem with time lag

DOI10.1155/2013/108482zbMath1304.35325OpenAlexW2076974263WikidataQ58915296 ScholiaQ58915296MaRDI QIDQ2016603

Yanyan Li

Publication date: 20 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/108482

zbMATH Keywords

time delayweak and strong invariance

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with control and optimization (35Q93)

Related Items (1)

\( \epsilon\)-positional strategies in theory of differential pursuit games and invariance of constant multivalued mappings in heat-conductivity problems

Cites Work

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• Sets invariant under an integral constraint on controls
• Monotone trajectories of differential inclusions and functional differential inclusions with memory
• Optimal control of the heat equation in an inhomogeneous body.
• On a time-optimal control problem associated with the heat exchange process
• A Survey of Viability Theory
• The maximum principle for control systems described by linear parabolic equations

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