Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: \(L^{p}\)-theory

DOI10.1016/j.jmaa.2016.10.029zbMath1352.45012OpenAlexW2537971813MaRDI QIDQ335446

Alfredo Lorenzi, Hiroki Tanabe, Angelo Favini

Publication date: 2 November 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.10.029

zbMATH Keywords

existenceuniquenessinitial value problemdirect problems of parabolic type for time-depending operator coefficients in Banach spaceslinear parabolic integro-differential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Linear integral equations (45A05)

Related Items (6)

Fractional Cauchy problems for infinite interval case ⋮ An identification problem for a linear evolution equation in a Banach space ⋮ Some Singular Integro-Differential Equations ⋮ Fractional Cauchy problems and applications ⋮ Degenerate differential problems with fractional derivatives ⋮ Singular integro-differential equations with applications

Cites Work

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• An \(L^p\)-approach to singular linear parabolic equations with lower order terms
• Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: \(L^2\)-theory
• An abstract functional differential equation and a related nonlinear Volterra equation
• An \(L^p\)-approach to singular linear parabolic equations in bounded domains
• On a class of interpolation spaces
• Sectorialness of Second Order Elliptic Operators in Divergence Form
• Intermediate spaces and interpolation, the complex method
• Interpolation in $L^{p}$ with boundary conditions

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