Abstract
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.
Original language | English |
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Article number | 155 |
Journal | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas |
Volume | 116 |
Issue number | 4 |
DOIs | |
Publication status | Published - Oct 2022 |
Externally published | Yes |
Keywords
- Abstract Cauchy problem
- Asymptotic Laplace transform
- Asymptotic resolvent
- Hyperfunction