On a class of retarded partial differential equations

DOI10.1007/BF01161806zbMath0521.35044MaRDI QIDQ1055621

Eugenio Sinestrari

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173441

zbMATH Keywords

global existenceinterpolation spacesmaximal regularityabstract parabolic equationsretarded partial differential equationsbounded analytic semigrouppartial integrodifferential equations with delay

Mathematics Subject Classification ID

Related Items (8)

On convergence of difference schemes for delay parabolic equations ⋮ On fundamental solution of differential equation with time delay in Banach space ⋮ On the smoothing property of linear delay partial differential equations ⋮ Well-posedness of delay parabolic difference equations ⋮ On regularity of stochastic convolutions of functional linear differential equations with memory ⋮ On the Stability of Schrödinger Type Involutory Differential Equations ⋮ Delay differential equations with unbounded operators acting on delay terms ⋮ On the stability of the Schrödinger equation with time delay

Cites Work

• Necessary conditions for partial differential equations with delay to generate \(C_ 0\)-semigroups
• \(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Equations d'évolution abstraites non linéaires de type parabolique
• Partial differential equations with deviating arguments in the time variable
• Interpolation Spaces Between Domains of Elliptic Operators and Spaces of Continuous Functions with Applications to Nonlinear Parabolic Equations
• Existence and regularity for linear delay partial differential equations
• Generation of Analytic Semigroups by Strongly Elliptic Operators
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