Fractional powers of operators and evolution equations of parabolic type

DOI10.3792/pjaa.64.227zbMath0708.35037OpenAlexW2060972222MaRDI QIDQ920288

Atsushi Yagi

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.227

zbMATH Keywords

existenceuniquenessfractional powersevolution operator

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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Weak solutions of the Shigesada-Kawasaki-Teramoto equations and their attractors, Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation, Regularity of solutions of abstract linear evolution equations, Global solution to some quasilinear parabolic system in population dynamics, Existence results for linear evolution equations of parabolic type, Functional calculi of second-order elliptic partial differential operators with bounded measurable coefficients, Maximal regularity for non-autonomous stochastic evolution equations in UMD Banach spaces, Non-autonomous stochastic evolution equations in Banach spaces of martingale type 2: strict solutions and maximal regularity, Strict Solutions to Stochastic Parabolic Evolution Equations in M-Type 2 Banach Spaces

Cites Work

• Initial-boundary value problem for parabolic equation in \(L^ 1\)
• A remark on fractional powers of linear operators in Banach spaces
• Abstract Evolution Equations of Parabolic Type in Banach and Hilbert Spaces
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