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The abstract Cauchy problem in locally convex spaces
Citation Link: https://doi.org/10.15480/882.4499
Publikationstyp
Journal Article
Publikationsdatum
2022-07-22
Sprache
English
Author
Institut
Volume
116
Issue
4
Start Page
1
End Page
23
Article Number
155
Citation
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 116 (4): 155, 1-23 (2022)
Publisher DOI
Scopus ID
ArXiv ID
Publisher
Springer
Peer Reviewed
true
We derive necessary and sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable notion of an asymptotic Laplace transform and extends results of Langenbruch beyond the class of Fréchet spaces.
Schlagworte
abstract Cauchy problem
asymptotic Laplace transform
asymptotic resolvent
hyperfunction
DDC Class
510: Mathematik
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publishedVersion
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