Abstract
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.
Citation
Claus Müller. "Laplace transform generation theorems and Local Cauchy problems." Abstr. Appl. Anal. 2004 (1) 69 - 90, 19 February 2004. https://doi.org/10.1155/S1085337504309073
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