On the solvability of an abstract Cauchy problem

DOI10.1134/S0012266110050174zbMath1223.34086OpenAlexW2088955453MaRDI QIDQ610353

A. V. Chaikovs'kyi

Publication date: 8 December 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266110050174

zbMATH Keywords

abstract Cauchy problemBanach space

Mathematics Subject Classification ID

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

Related Items (1)

On some examples in the theory of abstract Cauchy problems

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Maximal regularity in \(L^p\) spaces for an abstract Cauchy problem

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