Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics

DOI10.1016/j.jde.2018.12.017zbMath1411.35197OpenAlexW2905336085WikidataQ128732916 ScholiaQ128732916MaRDI QIDQ1733215

Carlos Lizama, Sebastián Zamorano

Publication date: 21 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.12.017

zbMATH Keywords

observability inequalitynull controllabilityimplicit function theoremmoving controlMoore-Gibson-Thompson equation

Mathematics Subject Classification ID

Controllability (93B05) Observability (93B07) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items (9)

The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation ⋮ Global existence for the Jordan-Moore-Gibson-Thompson equation in Besov spaces ⋮ Global well-posedness of the Cauchy problem for the Jordan-Moore-Gibson-Thompson equation with arbitrarily large higher-order Sobolev norms ⋮ Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation ⋮ Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation ⋮ Boundary controllability for the 1D Moore-Gibson-Thompson equation ⋮ Global well-posedness of the Cauchy problem for the 3D Jordan–Moore–Gibson–Thompson equation ⋮ An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound ⋮ Exterior controllability properties for a fractional Moore-Gibson-Thompson equation

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