Abstract and Applied Analysis

Laplace transform generation theorems and Local Cauchy problems

Claus Müller

Full-text: Open access

Abstract

We give new criterions to decide if some vector-valued function is a local Laplace transform and apply this to the theory of local Cauchy problems. This leads to an improvement of known results and new Hille-Yosida-type theorems for local convoluted semigroups.

Article information

Source
Abstr. Appl. Anal., Volume 2004, Number 1 (2004), 69-90.

Dates
First available in Project Euclid: 7 March 2004

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1078681597

Digital Object Identifier
doi:10.1155/S1085337504309073

Mathematical Reviews number (MathSciNet)
MR2058793

Zentralblatt MATH identifier
1084.47032

Subjects
Primary: 47D03: Groups and semigroups of linear operators {For nonlinear operators, see 47H20; see also 20M20} 47D06
Secondary: 44A10

Citation

Müller, Claus. Laplace transform generation theorems and Local Cauchy problems. Abstr. Appl. Anal. 2004 (2004), no. 1, 69--90. doi:10.1155/S1085337504309073. https://projecteuclid.org/euclid.aaa/1078681597


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