Evolution semigroups for nonautonomous Cauchy problems
In this paper, we characterize wellposedness of nonautonomous, linear Cauchy problems (NCP) {u˙(t)=A(t)u(t)u(s)=x∈X on a Banach space X by the existence of certain evolution semigroups.
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | Abstract and Applied Analysis |
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| Online Access: | http://dx.doi.org/10.1155/S1085337597000286 |
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| _version_ | 1832562451169673216 |
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| author | Gregor Nickel |
| author_facet | Gregor Nickel |
| author_sort | Gregor Nickel |
| collection | DOAJ |
| description | In this paper, we characterize wellposedness of nonautonomous, linear Cauchy problems (NCP) {u˙(t)=A(t)u(t)u(s)=x∈X on a Banach space X by the existence of certain evolution semigroups. |
| format | Article |
| id | doaj-art-22cec162718b4a088407e499df73dbb3 |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-22cec162718b4a088407e499df73dbb32025-02-03T01:22:29ZengWileyAbstract and Applied Analysis1085-33751997-01-0121-2739510.1155/S1085337597000286Evolution semigroups for nonautonomous Cauchy problemsGregor Nickel0Arbeitsbereich Funktionalanalysis, Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, Tübingen D - 7 207, GermanyIn this paper, we characterize wellposedness of nonautonomous, linear Cauchy problems (NCP) {u˙(t)=A(t)u(t)u(s)=x∈X on a Banach space X by the existence of certain evolution semigroups.http://dx.doi.org/10.1155/S1085337597000286Evolution semigroupnonautonomous abstract Cauchy problemperturbation theoryparabolic problems. |
| spellingShingle | Gregor Nickel Evolution semigroups for nonautonomous Cauchy problems Abstract and Applied Analysis Evolution semigroup nonautonomous abstract Cauchy problem perturbation theory parabolic problems. |
| title | Evolution semigroups for nonautonomous Cauchy problems |
| title_full | Evolution semigroups for nonautonomous Cauchy problems |
| title_fullStr | Evolution semigroups for nonautonomous Cauchy problems |
| title_full_unstemmed | Evolution semigroups for nonautonomous Cauchy problems |
| title_short | Evolution semigroups for nonautonomous Cauchy problems |
| title_sort | evolution semigroups for nonautonomous cauchy problems |
| topic | Evolution semigroup nonautonomous abstract Cauchy problem perturbation theory parabolic problems. |
| url | http://dx.doi.org/10.1155/S1085337597000286 |
| work_keys_str_mv | AT gregornickel evolutionsemigroupsfornonautonomouscauchyproblems |