Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions

DOI10.15388/namc.2021.26.24809zbMath1483.35038OpenAlexW3208075578WikidataQ115513924 ScholiaQ115513924MaRDI QIDQ5029954

Ionuţ Munteanu

Publication date: 15 February 2022

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/namc.2021.26.24809

zbMATH Keywords

eigenvalueexponential stabilizationfeedback controlnonlocal initial conditionscontraction mapping theorem

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Cites Work

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• Two-sided estimates of fundamental solutions of second-order parabolic equations, and some applications
• Existence of the solution to a nonlocal-in-time evolutional problem
• Invertibility and positive invertibility of integral operators in \(L^\infty\)

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