Well-posedness for degenerate third order equations with delay and applications to inverse problems

DOI10.1007/s11856-018-1796-8zbMath1409.34065OpenAlexW2898554529WikidataQ129077627 ScholiaQ129077627MaRDI QIDQ1717605

J. Alberto Conejero, Marina Murillo-Arcila, Juan B. Seoane-Sepúlveda, Carlos Lizama

Publication date: 7 February 2019

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/181555

zbMATH Keywords

inverse problemswell-posednessdegenerate third order equationsoperator-valued Fourier multiplier techniques

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Inverse problems for functional-differential equations (34K29) Implicit functional-differential equations (34K32)

Related Items (11)

Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation ⋮ Periodic solutions of second‐order degenerate differential equations with infinite delay in Banach spaces ⋮ Strongly \(L^p\) well-posedness for abstract time-fractional Moore-Gibson-Thompson type equations ⋮ Periodic solutions for the Blackstock-Crighton-Westervelt equation ⋮ Well-posedness of differential equations on \(B^s_{p, q}(\mathbb{R}; X)\) and \(F^s_{p, q}(\mathbb{R}; X)\) ⋮ Well‐posedness of second‐order degenerate differential equations with finite delay on Lp(ℝ;X)$$ {L}^p\left(\mathbb{R};X\right) $$ ⋮ Well‐posedness for the fourth‐order Moore–Gibson–Thompson equation in the class of Banach‐space‐valued Hölder‐continuous functions ⋮ Novel interpolation spaces and maximal‐weighted Hölder regularity results for the fractional abstract Cauchy problem ⋮ Mild solutions to integro-differential equations in Banach spaces ⋮ Well-posedness for the abstract Blackstock-Crighton-Westervelt equation ⋮ Well-posedness of third order degenerate differential equations with finite delay in Banach spaces

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