Laplace transform generation theorems and local Cauchy problems

Claus Müller

Abstract and Applied Analysis, 2004, vol. 2004, issue 1, 69-90

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.

Date: 2004
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https://doi.org/10.1155/S1085337504309073

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2004:y:2004:i:1:p:69-90

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