The abstract Cauchy problem in locally convex spaces

Publikationstyp
Journal Article
Date Issued
2022-07-22
Sprache
English
Author(s)
Kruse, Karsten  orcid-logo
Institut
Mathematik E-10  
TORE-DOI
10.15480/882.4499
TORE-URI
http://hdl.handle.net/11420/13269
Journal
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas  
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
10.1007/s13398-022-01295-5
Scopus ID
2-s2.0-85134594509
ArXiv ID
2112.02677
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.
Subjects
abstract Cauchy problem
asymptotic Laplace transform
asymptotic resolvent
hyperfunction
DDC Class
510: Mathematik
Publication version
publishedVersion
Lizenz
https://creativecommons.org/licenses/by/4.0/
Loading...
Thumbnail Image
Name

d4226b78-a39f-4adc-bf61-2283d114b99f.pdf

Size

553.67 KB

Format

Adobe PDF