\(C^{\alpha}\)-regularity for non-autonomous linear integrodifferential equations of parabolic type
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Publication:1078467
DOI10.1016/0022-0396(86)90056-2zbMath0596.45019OpenAlexW1988174383MaRDI QIDQ1078467
Eugenio Sinestrari, Alessandra Lunardi
Publication date: 1986
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(86)90056-2
existenceuniquenessBanach spacewell-posed problemcontinuous dependencelinear partial Volterra integrodifferential equation
Integro-partial differential equations (45K05) Abstract integral equations, integral equations in abstract spaces (45N05)
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Cites Work
- On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains
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- On the abstract Cauchy problem of parabolic type in spaces of continuous functions
- Existence and sharp regularity results for linear parabolic non- autonomous integro-differential equations
- Hölder regularity for non-autonomous abstract parabolic equations
- Interpolation Spaces Between Domains of Elliptic Operators and Spaces of Continuous Functions with Applications to Nonlinear Parabolic Equations
- Volterra Integral Equations in Banach Space
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