Explicit representation of a semigroup related to flows on networks with unbounded edges

We consider an initial-boundary value problem related to some network dynamics where the underlying graph has unbounded edges. We show that there exists a $ C_0 $-semigroup associated to this problem, and we find an explicit formula for the semigroup.

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Publication Details

Journal
Discrete and Continuous Dynamical Systems - B
Published
2025-01-01
DOI
https://doi.org/10.3934/dcdsb.2025048
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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article

Explicit representation of a semigroup related to flows on networks with unbounded edges

Adam Błoch
Discrete and Continuous Dynamical Systems - B
Spectral Theory in Mathematical Physics
article

Explicit representation of a semigroup related to flows on networks with unbounded edges

Adam Błoch
article en

Abstract

We consider an initial-boundary value problem related to some network dynamics where the underlying graph has unbounded edges. We show that there exists a $ C_0 $-semigroup associated to this problem, and we find an explicit formula for the semigroup.

Discrete and Continuous Dynamical Systems - BVol. 30(11)
Reduced inequalities
Openalex Percentile: Top 90%
Spectral Theory in Mathematical Physics
DOIOpen Access PDFOpenAlex
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Explicit representation of a semigroup related to flows on networks with unbounded edges — Adam Błoch · Discrete and Continuous Dynamical Systems - B (2025) | TGRS Research Map | TGRS