On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains

DOI10.1007/BF01776844zbMath0579.34001MaRDI QIDQ1067059

Paolo Acquistapace, Brunello Terreni

Publication date: 1985

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

linear non-autonomous Cauchy problemnon-autonomous boundary-initial value problemsrepresentation integral formula

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear operators on function spaces (general) (47B38) Linear differential equations in abstract spaces (34G10)

Related Items (14)

\(C^{\alpha}\)-regularity for non-autonomous linear integrodifferential equations of parabolic type ⋮ Existence and sharp regularity results for linear parabolic non- autonomous integro-differential equations ⋮ A unified approach to abstract linear nonautonomous parabolic equations ⋮ On the evolution operator for abstract parabolic equations ⋮ Global solutions of abstract quasilinear parabolic equations ⋮ On the Navier-Stokes equations with rotating effect and prescribed outflow velocity ⋮ On a class of linear equations of parabolic type ⋮ Unnamed Item ⋮ Local strong solutions to a quasilinear degenerate fourth-order thin-film equation ⋮ Bounded solutions of linear periodic abstract parabolic equations ⋮ Stochastic partial differential equation models for spatially dependent predator-prey equations ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Unnamed Item ⋮ Abstract quasilinear parabolic equations

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