Semigroups generated by first order differential operators

The differentiation operator in a space of continuous or $L^p$ functions defined on an interval generates a translation semigroup.Here we illustrate the generalization of this result to general first-order operators, possibly singular.

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Publication Details

Journal
Bruno Pini mathematical analysis Seminar
Published
2026-02-25
DOI
https://doi.org/10.60923/issn.2240-2829/24293
Primary Topic
Holomorphic and Operator Theory
Type
article
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article

Semigroups generated by first order differential operators

Giovanni Dore
Bruno Pini mathematical analysis Seminar
Holomorphic and Operator Theory
article

Semigroups generated by first order differential operators

Giovanni Dore
article en

Abstract

The differentiation operator in a space of continuous or $L^p$ functions defined on an interval generates a translation semigroup.Here we illustrate the generalization of this result to general first-order operators, possibly singular.

Bruno Pini mathematical analysis SeminarVol. 16(1)
University of Bologna (IT)
Reduced inequalities
Openalex Percentile: Top 40%
Holomorphic and Operator Theory
DOIOpen Access PDFOpenAlex
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