Some remarks on the abstract Cauchy problem

DOI10.2977/prims/1195191687zbMath0328.34065OpenAlexW2092400372MaRDI QIDQ1226660

Nobuhiro Sanekata

Publication date: 1975

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195191687

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) Differential equations in abstract spaces (34G99)

Related Items (12)

Differential equations in a Banach space ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ \(C\)-semigroups and the abstract Cauchy problem ⋮ Wellposedness of abstract Cauchy problems for second order differential equations ⋮ Well-posedness of differential-operator problems. I: The Cauchy problem in spaces of distributions ⋮ The ``parking problem for segments of different length ⋮ Rates of clustering in the Strassen law for random polygons ⋮ Approximation of convolutions by accompanying laws under the existence of moments of low orders ⋮ Random processes with strong averaging condition ⋮ Asymptotic behavior of trajectories of stationary Banach-valued Gaussian fields. II ⋮ Large deviations of sums of independent random variables from the domain of attraction of a stable law ⋮ A uniformly distributed hitting position for a two-dimensional anisotropic diffusion process: The limit normed curve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A characterisation of exponential distribution semigroups
• Semigroups of operators in locally convex spaces
• Convergence of semi-discrete difference schemes of abstract Cauchy problems
• Problèmes de Cauchy abstraits et applications à quelques problèmes mixtes
• Semigroups of linear operators in a Banach space
• Semigroups and abstract Gevrey spaces
• On the abstract Cauchy problem
• Eine Bemerkung zur Charakterisierung der Distributionenhalbgruppen
• Generation theorems of semi-groups of linear operators
• A note on the abstract Cauchy problem in a Banach space
• Some properties of regular distribution semi-groups
• A NOTE ON THE ABSTRACT CAUCHY PROBLEM

This page was built for publication: Some remarks on the abstract Cauchy problem