Nonuniqueness and wellposedness of abstract Cauchy problems in a Fréchet space

DOI10.1017/S0004972700019183zbMath0985.47030OpenAlexW1964853586MaRDI QIDQ2716968

Peer Christian Kunstmann

Publication date: 9 May 2002

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700019183

zbMATH Keywords

strongly continuous semigroupabstract Cauchy problemFréchet spacewellposedness

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10)

Related Items (1)

On the abstract Cauchy problem for operators in locally convex spaces

Cites Work

• Unnamed Item
• The Hille-Yosida space of an arbitrary operator
• \(C\)-semigroups and strongly continuous semigroups
• Existence families, functional calculi and evolution equations
• Whitney's extension theorem for ultradifferentiable functions of Beurling type
• Automatic Well-Posedness with the Abstract Cauchy Problem on a Fréchet Space

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