The abstract Cauchy problem in locally convex spaces

Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.4499

Publisher DOI:	10.1007/s13398-022-01295-5
arXiv ID:	2112.02677
Title:	The abstract Cauchy problem in locally convex spaces
Language:	English
Authors:	Kruse, Karsten
Keywords:	abstract Cauchy problem; asymptotic Laplace transform; asymptotic resolvent; hyperfunction
Issue Date:	22-Jul-2022
Publisher:	Springer
Source:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 116 (4): 155, 1-23 (2022)
Abstract (english):	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.
URI:	http://hdl.handle.net/11420/13269
DOI:	10.15480/882.4499
ISSN:	1579-1505
Journal:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas
Institute:	Mathematik E-10
Document Type:	Article
Project:	Modellierung, Simulation und Optimierung mit fluiddynamischen Anwendungen Projekt DEAL
Peer Reviewed:	Yes
License:	CC BY 4.0 (Attribution)
Appears in Collections:	Publications with fulltext