Well-posedness of abstract Cauchy problems

DOI10.1007/BF02573317zbMath0542.34053MaRDI QIDQ795216

Frank Neubrander

Publication date: 1984

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134674

zbMATH Keywords

abstract Cauchy problemsemigroups of operatorscosine families of operators

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10)

Related Items (7)

On the Relation Between the Semigroup and its Infinitesimal Generator ⋮ Individual stability of \(C_0\)-semigroups with uniformly bounded local resolvent ⋮ Matrix multiplication operators generating one parameter semigroups ⋮ Well-Posedness of Higher Order Abstract Cauchy Problems ⋮ Polynomial operator matrices as generators: The general case ⋮ Integrated semigroups ⋮ Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

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• Singular perturbation and boundary layer for an abstract Cauchy problem
• Higher order abstract Cauchy problems
• Ordinary differential equations in linear topological spaces. I
• Une généralisation du problème de Cauchy
• Cosine families and abstract nonlinear second order differential equations
• On cosine operator functions and one-parameter groups of operators
• A NOTE ON THE ABSTRACT CAUCHY PROBLEM

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