Well-posedness of abstract Cauchy problems.
F. Neubrander (1984)
Semigroup forum
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Displaying similar documents to “Semigroups of operators and second-order Cauchy problems.”
Well-posedness of abstract Cauchy problems.
Integrated semigroups, C-semigroups, and the abstract Cauchy problem.
R. de Laubenfels (1990)
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Regularized semigroups of bounded semivariation.
R. de Laubenfels, F. Yao (1997)
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Regularized semigroups of bounded semivariation.
R. de Laubenfels, F. Yao (1996)
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Integrated semigroups of unbounded linear operators -- Cauchy problem. II.
Kravarušić, Ratko, Mijatović, Milorad, Pilipović, Stevan (1998)
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Integrated semigroups and their application to complete second order Cauchy problems.
Frank Neubrander (1989)
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Matrix multiplication operators generating one parameter semigroups.
A. Holderrieth (1991)
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One-parameter semigroups of operators on Lc-embedded spaces.
S. Bjon (1994)
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Review of "Semigroups of linear operators and applications" by J.A. Goldstein.
R. Nagel (1986)
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On two-parameter regularized semigroups and the Cauchy problem.
Janfada, Mohammad (2009)
Abstract and Applied Analysis
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On α-times integrated C-semigroups and the abstract Cauchy problem
Chung-Cheng Kuo, Sen-Yen Shaw (2000)
Studia Mathematica
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This paper is concerned with α-times integrated C-semigroups for α > 0 and the associated abstract Cauchy problem: , t >0; u(0) = 0. We first investigate basic properties of an α-times integrated C-semigroup which may not be exponentially bounded. We then characterize the generator A of an exponentially bounded α-times integrated C-semigroup, either in terms of its Laplace transforms or in terms of existence of a unique solution of the above abstract Cauchy problem for every x...