Laplace transform generation theorems and local Cauchy problems
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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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2004-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/S1085337504309073 |