Singular evolution integro-differential equations with kernels defined on bounded intervals

DOI10.1080/00036810410001724418zbMath1085.45008OpenAlexW2043953928WikidataQ58249388 ScholiaQ58249388MaRDI QIDQ5712025

Hiroki Tanabe, Alfredo Lorenzi, Angelo Favini

Publication date: 22 December 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001724418

zbMATH Keywords

existenceuniquenessBanach spaceCauchy problemsabstract linear singular first-order integro-differential equationslinear singular partial integro-differential equations of parabolic typemaximal regularity of solutions

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) Abstract integral equations, integral equations in abstract spaces (45N05) Integro-differential operators (47G20)

Related Items

Some Singular Integro-Differential Equations ⋮ Maximal time regularity for degenerate evolution integro-differential equations ⋮ On the behaviour of singular semigroups in intermediate and interpolation spaces and its applications to maximal regularity for degenerate integro-differential evolution equations ⋮ Singular integro-differential equations with applications

Cites Work

• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Space and time regularity for degenerate evolution equations
• Degenerate self-adjoint evolution equations on the unit interval
• Wave equation with memory
• Analytic semigroups and optimal regularity in parabolic problems

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