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19 February 2004 Laplace transform generation theorems and Local Cauchy problems
Claus Müller
Abstr. Appl. Anal. 2004(1): 69-90 (19 February 2004). DOI: 10.1155/S1085337504309073


We give new criterions to decide if some vector-valued function is a local Laplace transform and apply this to the theory of local Cauchy problems. This leads to an improvement of known results and new Hille-Yosida-type theorems for local convoluted semigroups.


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Claus Müller. "Laplace transform generation theorems and Local Cauchy problems." Abstr. Appl. Anal. 2004 (1) 69 - 90, 19 February 2004.


Published: 19 February 2004
First available in Project Euclid: 7 March 2004

zbMATH: 1084.47032
MathSciNet: MR2058793
Digital Object Identifier: 10.1155/S1085337504309073

Primary: 47D03 , 47D06
Secondary: 44A10

Rights: Copyright © 2004 Hindawi

Vol.2004 • No. 1 • 19 February 2004
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