On the evolution operator for a class of non-autonomous abstract parabolic equations

DOI10.1016/0022-247X(92)90009-3zbMath0768.34039OpenAlexW1965566827MaRDI QIDQ1206906

Anna Buttu

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90009-3

zbMATH Keywords

Banach spaceanalytic semigroupnon-autonomous abstract parabolic equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20)

Related Items (5)

Verification theorems for stochastic optimal control problems via a time dependent Fukushima--Dirichlet decomposition ⋮ Solvability of initial boundary value problems for non-autonomous evolution equations ⋮ Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time ⋮ Optimal expected exponential utility of dividend payments in a Brownian risk model ⋮ Estimating long-term behavior of periodically driven flows without trajectory integration

Cites Work

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• Evolution operators and strong solutions of abstract linear parabolic equations
• Some existence and regularity results for abstract non-autonomous parabolic equations
• Semigroups of linear operators and applications to partial differential equations
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Hölder classes with boundary conditions as interpolation spaces
• Equations d'évolution abstraites non linéaires de type parabolique
• On the abstract linear evolution equations in Banach spaces
• On the gap between deterministic and stochastic ordinary differential equations
• Nonlinear analytic semiflows
• Equations of parabolic type in a Banach space

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