Regularity of solutions for a third order differential equation in Hilbert spaces

DOI10.1016/j.amc.2011.03.056zbMath1222.34067OpenAlexW2070035571WikidataQ115361630 ScholiaQ115361630MaRDI QIDQ546016

Carlos Lizama, Veronica Poblete Oviedo, Claudio Fernandez

Publication date: 24 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/128702

zbMATH Keywords

energy functionalmild and strong solutionsregularity of solutionsthird order Cauchy problems

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10)

Related Items (9)

Asymptotic periodicity for flexible structural systems and applications ⋮ Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation ⋮ Periodic solutions of third-order integro-differential equations in vector-valued functional spaces ⋮ Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay ⋮ Well‐posedness for the fourth‐order Moore–Gibson–Thompson equation in the class of Banach‐space‐valued Hölder‐continuous functions ⋮ Boundary controllability for the 1D Moore-Gibson-Thompson equation ⋮ WELL-POSEDNESS AND EXPONENTIAL DECAY OF THE ENERGY IN THE NONLINEAR JORDAN–MOORE–GIBSON–THOMPSON EQUATION ARISING IN HIGH INTENSITY ULTRASOUND ⋮ On the Cauchy problem of the standard linear solid model with Fourier heat conduction ⋮ L^p-boundedness and topological structure of solutions for flexible structural systems

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• Exact controllability and boundary stabilization of flexural vibrations of an internally damped flexible space structure.
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