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: |
Wiley
2004-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504309073 |
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| _version_ | 1850165991223328768 |
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| author | Claus Müller |
| author_facet | Claus Müller |
| author_sort | Claus Müller |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e47765265f1d45338b04d64622ab1ba0 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e47765265f1d45338b04d64622ab1ba02025-08-20T02:21:34ZengWileyAbstract and Applied Analysis1085-33751687-04092004-01-0120041699010.1155/S1085337504309073Laplace transform generation theorems and local Cauchy problemsClaus Müller0Fachbereich Mathematik, Universitaet Kaiserslautern, Erwin Schroedinger Strasse, Kaiserslautern 67655, GermanyWe 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.http://dx.doi.org/10.1155/S1085337504309073 |
| spellingShingle | Claus Müller Laplace transform generation theorems and local Cauchy problems Abstract and Applied Analysis |
| title | Laplace transform generation theorems and local Cauchy problems |
| title_full | Laplace transform generation theorems and local Cauchy problems |
| title_fullStr | Laplace transform generation theorems and local Cauchy problems |
| title_full_unstemmed | Laplace transform generation theorems and local Cauchy problems |
| title_short | Laplace transform generation theorems and local Cauchy problems |
| title_sort | laplace transform generation theorems and local cauchy problems |
| url | http://dx.doi.org/10.1155/S1085337504309073 |
| work_keys_str_mv | AT clausmuller laplacetransformgenerationtheoremsandlocalcauchyproblems |