An approximation theorem for linear Cauchy problems in Banach space

DOI10.1016/0022-1236(78)90017-4zbMath0372.34036OpenAlexW2049798919MaRDI QIDQ1244451

Jürg Weilenmann

Publication date: 1978

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90017-4

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Groups and semigroups of linear operators (47D03) Parabolic equations and parabolic systems (35K99) Differential equations in abstract spaces (34G99)

Related Items (1)

Differential equations in a Banach space

Cites Work

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• Continuity properties of fractional powers, of the logarithm, and of holomorphic semigroups
• Note on singular perturbation for abstract differential equations
• Equations of parabolic type in a Banach space
• Convergence to a stationary state of the solution of some kind of differential equations in a Banach space

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