Volterra integrodifferential equations of parabolic type of higher order in time in \(L^P\) spaces

zbMath0966.45006MaRDI QIDQ1589927

Davide Guidetti

Publication date: 8 August 2001

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_2000__103__65_0

zbMATH Keywords

Banach spaceanalytic semigroupevolution operatorVolterra integrodifferential equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Abstract integral equations, integral equations in abstract spaces (45N05)

Cites Work

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• \(C^{\alpha}\)-regularity for non-autonomous linear integrodifferential equations of parabolic type
• Existence and sharp regularity results for linear parabolic non- autonomous integro-differential equations
• Regular solutions for time dependent abstract integrodifferential equations with singular kernel
• On fundamental solutions of linear parabolic equations of higher order in time and associated Volterra equations
• On boundary value problems for parabolic equations of higher order in time
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)

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